Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $275.

Write an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days. (4 points)

Part B: Write the equation obtained in Part A using function notation. (2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

(10 points)

Answers

Answer 1

Answer:

y = 50x+25

f(x) = 50x+25

Step-by-step explanation:

Using the slope intercept form of the equation, y = mx+b

where x is the amount per day and b is the flat fee

2 days

125 = 2x+b

5 days

275 = 5x+b  

Subtract

275 = 4x+b  

125 = 2x+b

---------------------

150 = 3x

Divide by 3

150/3 = 3x/3

50 =x

The cost per day is 50 dollars

y = 50x +b

Using the data for 2 days

125 = 50*2 +b

125 = 100 +b

125-100 = b

b = 25

The equation is y = 50x+25

f(x) = 50x+25

To graph, The x axis is number of days and the y axis is total cost

The number of days starts with 0, which is the y intercept

Let x = 0, y =25

Using the slope, we go 50 up and 1 to the right ( 50 dollars per day)

The next point plotted ins ( 1,50)

Draw a straight line

Answer 2

Answer:

y = 50x+25

f(x) = 50x+25


Related Questions

A student saves $30 per month. How much is saved in 4 months?(PLz help)

Answers

Answer:

$120

Step-by-step explanation:

30 x 4 is 120 (think of it as 3 x 4 then add the 0 at the end)

Step-by-step explanation:

it so easy bro

$30*4=$120

Scooter travels 30 feet into seconds at a contest speed

Answers

Answer:

Step-by-step explanation:

A.15  FEET PER SEC

Answer:

A=15 1sec=15 3sec=45 4sec=60 5sec=75

Step-by-step explanation:

IF he travels 30 feet in 2 seconds, then 30/2=15 so the answer is 15

A pumpkin is thrown out of a window that is 4 feet high with an upward velocity of 14. When will the pumpkin hit
the ground?
A. 0.4 seconds
OB. 1.1 seconds
O c. 7 seconds
OD. 0.22 seconds

Answers

Answer:

Step-by-step explanation:

Given

Height H = 4 feet

Velocity = 14ft/s

Required

Time the pumpkin will hit the ground

Using the equation of mottion

H = ut + 1/2gt²

4 = 14t + 1/2(9.8)t²

4 = 14t + 4.9t²

4.9t²+14t-4 = 0

t = -14±√196+16(4.9)/2(4.9)

t = -14±√196+78.4/2(4.9)

t = -14±16.57/9.8

t = -14+16.57/9.8

t = 2.57/9.8

t = 0.2seconds

Mathematics I need help

Answers

Answer:

The answer is b

Step-by-step explanation:

0.63-0.2=0.43

Mrs. Hollern works in a jewelry store and
earns an 8.5% commission on every piece of
jewelry she sells. How much commission
would she earn for selling a necklace that
costs $4,600?

Answers

Answer:

May 06, 2018 · Real estate agents, car dealers, and pharmaceutical sales representatives earn commissions that are a percentage, or part, of sales. For example, a real estate agent might earn a portion of the selling price of a house that she helps a client purchase or sell. A car salesperson earns a portion of the selling price of an automobile that she sells.

$391 is earned by Mrs. Hollern for selling a necklace that  costs $4,600

Since a commission of 8.5%(0.085) is earned for each jewelry sold, hence the total commission (y) for selling x worth of jewelry is:

y = 0.085x

Hence for selling $4600, the commission earned is:

y = 0.085(4600)

y = 391

Hence $391 is earned by Mrs. Hollern for selling a necklace that  costs $4,600.

Find out more at: https://brainly.com/question/16763389

HELP ASAP 45 POINTS!!!!
1
Write in slope-intercept form an equation of the line that passes through the points (−5,3) and (7,−9).

The equation is y=

2
Find the distance between (0, −9) and (9, −8). Write your answer using a radical sign.

d=
























































1
Write in slope-intercept form an equation of the line that passes through the points (−5,3) and (7,−9).

The equation is y=

Answers

Answer:

D = -4,5

Step-by-step explanation:

I took the test on k12

Which are necessary conditions to apply the SAS Triangle Congruence Theorem? Select all that apply.

A. Two sides and the included angle of a triangle are congruent to the corresponding parts of another triangle.
B. Two angles and the included side of one triangle are congruent to the corresponding parts of another triangle.
C. An angle and the two sides collinear with the angle's rays are congruent to the corresponding parts of another triangle.
D. Two sides and any angle of one triangle are congruent to the corresponding parts of another triangle.

Answers

Answer:

A and C

Step-by-step explanation:

Two sides and the included angle of a triangle are congruent to the corresponding parts of another triangle.

An angle and the two sides collinear with the angle's rays are congruent to the corresponding parts of another triangle.

The statements that will apply that meets the conditions for two triangles to be considered congruent to each other by the SAS Congruence Theorem are:

A. corresponding two sides and an included angle that are congruent in both triangles

C. A pair of two sides that are collinear to an angle's ray and an angle, which are congruent to the corresponding two sides and angle in the other triangle.

Recall:

SAS Triangle Congruence Theorem states that if two triangles have a pair of corresponding two sides and an included angle that are congruent to each other, then the two triangles are considered congruent to each other.

The image shows two triangles that are congruent by the SAS Congruence Theorem.

Therefore the statements that will apply that meets the conditions for two triangles to be considered congruent to each other by the SAS Congruence Theorem are:

A. corresponding two sides and an included angle that are congruent in both triangles

C. A pair of two sides that are collinear to an angle's ray and an angle, which are congruent to the corresponding two sides and angle in the other triangle.

Learn more here:

https://brainly.com/question/19807547

PLS HELP I WILL GIVE BRAINLIEST

Answers

Answer:

See below for answers

Step-by-step explanation:

12/15=4/5

8/10=4/5

18/27=2/3

6/9=2/3

8/12=2/3

12/18=2/3

9/15=3/5

10/25=2/5

Answer:

4/5, 4/5, 2/3, 2/3, 2/3, 2/3, 3/5, 2/5

Step-by-step explanation:

to prove ∆LMN ≅ ∆PQR by SSS you need _______________ and
______________ and ______________

Answers

Given:

To prove ∆LMN ≅ ∆PQR by SSS you need _____________ and

_______________ and ______________.

To find:

The missing values.

Solution:

If ∆LMN ≅ ∆PQR by SSS, then all sides of ∆LMN are congruent to corresponding sides of ∆PQR.

[tex]LM\cong PQ[/tex]

[tex]MN\cong QR[/tex]

[tex]LN\cong PR[/tex]

Therefore, the missing values are [tex]LM\cong PQ, MN\cong QR,LN\cong PR[/tex].

From the set {200, 210, 388}, use substitution to determine which value of x makes the equation true.

48 + x = 434
A.
210
B.
none of these
C.
200
D.
388

Answers

Answer:

b

Step-by-step explanation:

because x= 386

The answer is B because x = 386

work out the angle of size x

Answers

Answer:

x=75

Step-by-step explanation:

[tex]We\ are\ given\ that, \\Angle GFE=105\\We\ observe\ that, \\Angle\ GFE\ and Angle\ EFB\ form\ a\ linear\ pair\ and\ hence,\ are\ supplementary.\\Hence,\\Angle\ GFE\ + Angle\ EFB=180\\Hence,\\105+Angle\ EFB=180\\Angle\ EFB=180-105\\Angle\ EFB=75\\We\ know\ observe\ that\ Angle\ EFB\ and\ Angle\ ABC\ are\ corresponding\ angles\ and\ are\ equal\\Hence,\\Angle\ EFB\ = \ Angle\ ABC\\75=Angle\ ABC\\75=x\\x=75[/tex]

The slope of the graphed line is

Answers

the rise is 5 and the run is 2 so the answer is 5/2

what must be included in a algebraic expression?

Answers

Answer:

Variable (or coefficients)

Step-by-step explanation:

Answer:

you have to be more specific but, There is no official antonym for algebraic expression. The only thing that is the opposite of an algebraic expression is something that is not an algebraic expression.

Step-by-step explanation:

☜(゚ヮ゚☜)

What is the volume of this prism?

Answers

10+2+4=16 jehehehshhwbdhshbs hahahah

Mallory was driving 70 miles per hour and has a stopping distance of 245 feet. What is the value of the constant of proportionality k?

Answers

Answer:

a

Step-by-step explanation:

72,64,145

Please Help Me This Is Due Today

Answers

Answer:

1.Y 2.AC 3.R

Step-by-step explanation:

1. Y is a point.

2. AC is a line segment

3. The name of the plane is R

Marie can find the volume of a cube by using the formula V = s³, where s represents the side length of the cube. If Marie’s cube has a side length of 2image centimeters, what is the volume of her cube? Show your work. Write your answer as a fraction.

Answers

Answer:

the anwser is 3/2

Step-by-step explanation:

you have to do 2 1/2 times 3 then have to put it in fraction form and it is 3/2

Hope i explained it well its my first time vote me brainleist and tell me if i got it right

Water is filling a pool at a rate of 5 gallons per minutes. Write equivalent ratios for the first 5 minutes of the pool filing up. *

Answers

Time

1            2              3              4             5

___________________________________________

5           10            15            20           25

Amount of water

the lacrosse team is raising money by selling cheesecakes. the players plan to sell an entire cheesecake for $24

Answers

Answer:

what is the rest of the question

Step-by-step explanation:

then  i can help you answer it.

Consider function g. Which function could be the inverse of function g? PLEASE HELP !

Answers

Answer:

Step-by-step explanation:

The correct answer is B .

4d + 7e = 68
-4d - 6e = -72
QUICK

Answers

Step-by-step explanation:

by adding :

e=_4

d=24.....

Question 2 of 10
w
What do you know to be true about the values of p and q?
9
60°
1459
45°
A. p> a
B. p O c. p= 9
D. Can't be determined

Answers

The value of p is equal to q from the given triangles

Sum of interior angle of a triangle

The sum of interior angle of a triangls is 180 degrees

For the first triangle

p + 60 + 30 = 180

p + 90 = 180

p = 180 - 90

p = 90 degrees

For the second triangle

q + 45 + 45 = 180

q + 90 = 180

q = 90degree

From both results, you can see that the value of p is equal to q

Learn more on triangles here: https://brainly.com/question/17335144

#SPJ1

I dont know how to solve this does anybody?

Answers

Answer:

3x + 7 + 5

Step-by-step explanation:

I could be wrong... there are 3 x's so that would be 3x, and then the 7 and 5. sorry if i'm wrong

The answer it 3x + 7 + 5.

WILL GIVE BRAINLIEST
Which of the following statements represents a mathematical expression?
A. The difference of 17 and 9.
B. The product of 8 and 7 is 56.
C. Seven to the second power is equal to 49.
D. Two plus 4 has the same value as 4 plus 2

Answers

Answer:

a the difference of 17 and 9

Answer:

A.

Step-by-step explanation:

Because there is a difference between a expression and equation. Expressions don’t have a equal sign or an answer. But equations have an equal sign and an answer. So because everything else has an answer or equal sign, the correct answer would be A.

What is the unit rate of 18?

Answers

i thinkkkkkk it’s 18/1

April surveyed 200 bicyclists riding on the Two Rivers Bridge and recorded the
helmet color and brand of bicycle (name-brand or generic) the cyclist was riding
Of the 80 cyclists riding name-brand bikes, 60 had black helmets. If helmet
color and brand of bicycle are independent, how many cyclists riding generic
bicycles would be expected to have black helmets?
A. 5
B. 20
C. 30
D. 90
E. 100

Answers

If it sticks to the same rule of 1/4th of them it would be 90 of them would have black helmets

helpppppppppppppppppppppppp for brainliest

Answers

3,4,5 can make a triangle
3,7,10 cannot make a triangle
6.2, 7.9, 12.5 can make a triangle
2,8,9 can make a triangle
10,20,50 cannot make a triangle

There were 12 stray cats in a town the first year. The next year, there were 21 stray cats in the town. What is the percent increase?

Answers

Answer: 75% increase

Step-by-step explanation:

Percentage Increase=(Final Value−Starting Value/Starting Value)×100

Percentage Increase=(21-12/12) ×100

Percentage Increase=(9/12) ×100

Percentage Increase=0.75 ×100

Percentage Increase=75%

Answer:

75 percent

Step-by-step explanation:

21-12=9

9=x%*12

/          /

12       12

3/4 = x

0.75 =x

75% = x

PLEASE PLEASE HELP I WILL GIVE BRAINALIST AND EXTRA POINTS FIRST TO ANSWER

Answers

Step-by-step explanation:

4+3n [tex]\geq[/tex] 1 or -5n > 25

3n [tex]\geq[/tex] -3         n > -5

n [tex]\geq[/tex] -1                

here is an easy question for points ♥
look at the image linked below

Answers

X^8 is the correct answer

Answer:

x∧8 have a nice day

Step-by-step explanation:

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