Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Use the table to answer the following questions.

Time (hours) Distance (miles)
2 90
3 135
5 225
6 270
1. Find the constant of proportionality.

2. Use the constant of proportionality to write a unit rate for the data in the table.

3. Write an equation to represent the relationship between time, t, and distance, d.

Answers

Answer 1

Answer:

Sure, here are the answers to your questions:

The constant of proportionality is 45. This is because the ratio of distance to time is always 45. For example, 90/2 = 45, 135/3 = 45, 225/5 = 45, and 270/6 = 45.

The unit rate is 45 miles per hour. This is because the constant of proportionality is 45, and the units of time are hours and the units of distance are miles.

The equation that represents the relationship between time, t, and distance, d, is d = 45t. This is because the constant of proportionality is 45, and the equation for a direct proportion is y = kx, where y is the distance, x is the time, and k is the constant of proportionality.

Here are the steps that I used to solve the problem:

I first looked at the table and noticed that the ratio of distance to time was always the same. This is a clue that the relationship between distance and time is proportional.

I then calculated the constant of proportionality by dividing the distance by the time for each pair of values. For example, I divided 90 by 2 to get 45, 135 by 3 to get 45, 225 by 5 to get 45, and 270 by 6 to get 45.

I then used the constant of proportionality to write a unit rate. The unit rate is the constant of proportionality divided by the units of time. In this case, the constant of proportionality is 45 and the units of time are hours. Therefore, the unit rate is 45 miles per hour.

I then used the constant of proportionality to write an equation. The equation for a direct proportion is y = kx, where y is the distance, x is the time, and k is the constant of proportionality. In this case, the constant of proportionality is 45, so the equation is d = 45t.

Step-by-step explanation:


Related Questions

This is science just please look at the pic and answer if you know don’t answer if you don’t know don’t steal points

Answers

Answer:

1) a body of air with horizontally uniform temperature, humidity, and pressure.  

2) the foremost part or surface of anything. the part or side of anything that faces forward: the front of a jacket.

3) A cold front is often associated with showers and thunderstorms. As it advances, often quite rapidly (50 to 65 km [30 to 40 miles] per hour), the cold air, which is relatively dense, undercuts the displaced warm air, forcing it to rise.

4) Cold Fronts. When a cold front passes through, the weather becomes significantly colder and drier. (It isn't uncommon for air temperatures to drop 10 degrees Fahrenheit or more within an hour of a cold frontal passage.) The weather map symbol for a cold front is a blue curved line with blue triangles.

5) When a cold front passes through, temperatures can drop more than 15 degrees within the first hour. Symbolically, a cold front is represented by a solid line with triangles along the front pointing towards the warmer air and in the direction of movement.

Step-by-step explanation:

Last part ----------------------------------------------------------------------------------------------------------------->

kay has a pet snake that is 965 mm long , how many dekameters is that??←

Answers

The answer is .097 dekameters!
Okay so 1 millimetre is 0.0001 decametres.

To work out what 965 millimetres is, just multiply 0.0001 by 965:

Kay’s snake is 0.0965 decametres long

Can someone please help me with this? Thank youuu!

Answers

Answer:

1996

Step-by-step explanation:

To find the number of terms in an arithmetic sequence, divide the common difference into the difference between the last and first terms, and then add 1.

2008 - 13 = 1995 + 1 = 1996

Multiply two and four-fifths negative five and two-thirds

Answers

Answer:

-15 13/15

Step-by-step explanation:

I used a calculator

Answer:

negative fifteen and thirteen-fifteenths

Step-by-step explanation:

Evaluate 5a−b when a=4 and b=12.

Answers

Answer:

8

Step-by-step explanation:

5a - b

5(4) - 12

20 - 12

8

the answer is 8

all you have to do is replace the numbers like 5(4)-(12) and solve it?

First-person to get this right get Brainliest

Which line has a slope of 1, and which has a slope of 2?

Answers

Answer: L = 1. K=2

Step-by-step explanation: it is right

e has a slope of 1
k has a slope of 2

Use the expression below to answer the following question:

x + 2x + 12y + 4

What are the coefficients of this expression?

Answers

Coefficients: 2 and 12
2 and 12 are the coefficients.

How much does a cubic meter of water weigh in kilograms? Please Explain.

Answers

Answer:

A cubic meter of pure water has a mass of 1000 kg

Step-by-step explanation:

A cubic meter of water in kg is 1000kg

what is l-8l?
-16
-8
8
16

Answers

Answer:

8

Step-by-step explanation:

Absolute Value  (| |) is the number of spaces away from 0. -8 is 8 spaces away from 0 and 8 is 8 spaces away from 0.

Hope this helps plz  mark brainliest if correct :D

Answer quickly. Will give Brainliest ONLY to the correct answer or answers that have work shown. Answers that are not applicable will be reported.

If p 0, and p + q = r, which statement about r is true?
a. |r| = |q|
b. r > 0
c. r |q|

If the question comes out with missing symbols or sentences, do not answer it. I will try to fix it.

Answers

Answer:

A

Step-by-step explanation:

Since p is very much less than q, meaning that even if q is added to p, r would still be negative. So b is incorrect. C isn't an equation, so the answer is A.

Answer:

A

Step-by-step explanation:

Solving Equations: Variables on Both sides (A8.3.4)
6y-5=7y-y

Answers

this statement is false lol
there’s no solution

Please help me and please

Answers

Answer:

the answer is 10

Step-by-step explanation:

sorry if im wrong :) :(

1/9 ÷ 6? What is the quotient

Answers

Answer:

.01851

Step-by-step explanation:

1/9=.111

/6=.01851

Ms. Yost has 20 boxes of markers. She buys 420% more boxes. How many boxes will she have in all?

Answers

Answer:

104 boxes

Step-by-step explanation:

You do 20 + 20(4.2) to get 104

The 4.2 is 420% and 20 is the boxes she currently has.

Answer:

104 in all

Step-by-step explanation:

Hope I  helped

What are the coordinates of point H? On a coordinate plane, point H is 1.5 units to the left and 3 units up. (Negative 3, 1 and one-half) (Negative 1 and one-half, 3) (1 and one-half, 3) (3, negative 1 and one-half) Mark this and return

Answers

Answer:

Option 2 (B)

Step-by-step explanation:

Answer:

b

Step-by-step explanaton

ik okay

I added screenshot this time

Answers

3? Correct me if I’m wrong

Four students graphed one linear function each. Which student graphed a linear function with a y-intercept at –4?

Answers

Rhett did because if u look at the graph it lands on -4
Ellis did. On the graph the line lands at -4 at the y-intercept

Plz help need answer ASAP
What is the slope of this graph?


4

−14

14

−4

Answers

Answer : -4
Explanation:
The correct answer would be 4

Brady and 3 friends went to lunch. Their meal cost $32, and they left a 15% tip. How much was the tip?

Answers

Answer:

Step-by-step explanation:

I think 7.50

Can someone solve number 1 for me??? and give me an explanation if you can.

Answers

mira chico, es mejor que prestes atención en clase porque no respondo por ti

You would have RY because the round eyes are R and the Blue body is Y

ummmm HELP WILL GIVE BRAINLIEST

Answers

The answer is A......................................

Answer:

its B

Step-by-step explanation:

What is the length of the unknown side of this triangle?

Answers

Answer:

shoto its me deku!!!!!!

Answer:

65

Step-by-step explanation:

first we know that it is a right angle and its 90 degrees.

now we add up the angles it has givin us.

17 plus 8 = 25

90 minus 25 = 65.

Write the equation of the line that has an undefined slope and passes through the point (4,13).

Answers

Answer: y-Mx+b

Step-by-step explanation:

I really dont know

Sorry tho

Answer:

4x+13y

Step-by-step explanation:

Just put the number and the x and y

QUICK ALSO BRAINLY Which graph shows a proportional relationship between the number of hours of renting a bicycle and the total amount spent to rent the bicycle?
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y-axis are 0, 12, 24, 36, 48, and 60. Points are shown on ordered pairs 0, 0 and 2, 12 and 4, 24 and 6, 36 and 8, 48. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y-axis is Total Amount in dollars.
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y-axis are 0, 12, 24, 36, 48, and 60. Points are shown on ordered pairs 0, 0 and 2, 12 and 4, 24 and 6, 30 and 8, 40. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y-axis is Total Amount in dollars.
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y-axis are 0, 12, 24, 36, 48, and 60. Points are shown on ordered pairs 0, 0 and 2, 12 and 4, 20 and 6, 24 and 8, 24. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y-axis is Total Amount in dollars.
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y-axis are 0, 12, 24, 36, 48, and 60. Points are shown on ordered pairs 0, 0 and 2, 12 and 4, 12 and 6, 12 and 8, 12. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y-axis is Total Amount in dollars.

Answers

Answer:

i think its the first one

Step-by-step explanation:

i hope this helps

-5.23-9.3= what idk what

Answers

Answer:

-14.53

Step-by-step explanation:

-5.23-9.3=-14.53 it's a negative plus a negative

A lemonade recipe calls for 6 gallons of water. How many quarts of water are needed for the recipe

Answers

6 gallons of water is 24 quarts

Answer:

24

Step-by-step explanation:

there are 4 quarts in a gallon

How are exponents and powers different?
(DON'T GOOGLE IT!)

Answers

Answer:

The power is larger than the exponet

Step-by-step explanation:

A power is the product of multiplying a number by itself. A power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied.

The following is a model showing the solution to an equation. x - 34 = 13 x - 34 + 34 = 13 + 34 x = 47 What property of equality was used to solve the equation? a. subtraction b. addition c. multiplication d. division

Answers

Answer:

B.) Addition*Additive property of equality

Step-by-step explanation:

You add 34 to both sides of the equation to find what x was equal to

Hope I helped

Answer:

You add 34 to both sides of the equation to find what x was equal to

Hope I helped

Step-by-step explanation:

find 34.672 + 15.31 express your answer in decimal form

Answers

Answer:

49.982

Step-by-step explanation:

when u add or subtracted two decimals line the the decimals up and then add a zero behind the decimal to line the answer up.

\sqrt{12}\times \sqrt{8}

Answers

Answer:

9.8

Step-by-step explanation:

sqrt(12)=3.5 × sqrt(8)=2.8 = 9.8

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