The table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it takes the
cyclist to complete a bicycle tour. Which rational function best models the data in the table?
Time, x
(hours)
12
16
2
10
Average Speed, y
(miles per hour)
8
6
9
18
6
51
201
х
O ya
96
oy - 2x
2x
3
3
Save and Exit
Next
Submit
Answers
By putting every value of table x, y = (96 / x) this gives the output of table y so that this is the correct answer.
By definition, it is known that speed equals the ratio of distance and time.
Speed = Distance / Time
Therefore, according to the definition, the last two options are the possible
Let's evaluate the First option:
y = x/96
= 12/96
= 1/8
The table is not fulfilled
Let's evaluate the Second option: (12,8)
y= 2x/3
y= 2*12/3
y = 8
NOW,
(16, 6)
y= 2x/3
2*16/3
the answer will be on a fraction
The table is not fulfilled
Let's evaluate the third option:
y = (3/2) * (1 / x)
x = 12
y = (3/2) * (1/12) = 3/24 = 1/8
The table is not fulfilled
Let's evaluate the fourth option:
y = (96 / x)
x = 12
y = (96/12) = 8
Yes, the table is met.
Option 4 ) y = (96 / x)
By putting every value of table x, y = (96 / x) this gives the output of table y so that this is the correct answer.
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Related Questions
Write an equation of the line in slope-intercept form.
Answers
why?
Equation is y=Mx+b
slope =m
B= point on y axis
Question in picture please solve
Answers
Answer:
n=8
Step-by-step explanation:
-6=n/2-10 -- switch sides
n/2-10= -6 -- add 10 to both sides
n/2-10+10= -6+10 -- simplify
n/2=4 -- multiply both sides by 2
2n/2=4 times 2 -- simplify
n=8 -- answer
What does it equal??????
Answers
Answer:
8
Step-by-step explanation:
2*2*2=8
Answer:
it's 8
Step-by-step explanation:
which statesmen describes the association between variable X and variable Y?
perfect negative association
perfect positive association
moderate positive association
moderate negative association
Answers
Answer:
perfect positive association.
Step-by-step explanation:
A perfect positive association means that a relationship appears to exist between two variables, and that relationship is positive 100% of the time. In statistics, a perfect positive association is represented by the value +1.00, while a 0.00 indicates no association
(7n - 5)(5n-8)
Multiply polynomials
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when will i find love
Answers
First thing you need to do is, talk to the opposite gender, make friends, and if you and one of them decide to take it to the next level, you will now then have love.
Answer:
never
Step-by-step explanation:
because i said so :)
Janice went to 5 different stores in the mall. She spent an average of $30 at each store. After visiting just the first 4 stores she had spent $100. How much must she have spent
A.)525
B.)$30
С.)$50
D.)$70
Answers
Step-by-step explanation:
$100 In 4 stores that 400 but then I did 30 times 5 which is 150 but 150 plus 400 is 550 so I rounded that and I got 525 now this just me I would choose that if I was you right now But I don’t know if I’m correct so ask somebody else to make sure cause I don’t want you to get a bad grade if you have any questions or another way we can figure this out just comment and I’ll reply and try to help
We want to find how much Janice spends on her last purchase.
The correct option here is C, she must have spent $50 on the last store.
Let's see how to get the correct answer:
We know that the average is $30 per store, and we know that she goes to 5 stores, then the total amount spent in the 5 stores is:
5*$30 = $150
Notice that average is just given by the total amount of money she spent divided the number of stores she visited, this does not mean that she spent $30 in each of these stores.
Now, we also know that in the first 4 stores she spents a total of $100.
We want to know how much does she spend on the last store, this will be given by the difference between the total amount and $100, this is:
$150 - $100 = $50
So she must have spent $50 on the last store, meaning that the correct option is C.
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the perimeter of the given equilateral triangle is 42 cm find s if it's side length is (3s+2) cm
Answers
Answer:
14cm
Step-by-step explanation:
Given parameters:
perimeter of the triangle = 42cm
length of side = (3s + 2)cm
Unknown:
Find the length of each side = ?
Solution:
The perimeter of a body is the sum of all its sides.
In this problem, we have been given an equilateral triangle. For such a triangle, all the sides are equal. So the perimeter is the sum of all the three sides;
(3s + 2) + (3s + 2) + (3s + 2) = 42
9s + 6 = 42
9s = 42 - 6
9s = 36
s = 4;
The length of its sides = 3s + 2
= 3(4) + 2
= 12 + 2
= 14cm
Johathan purchases 10 traveler's checks in denominations of $20, $50, and $100, totaling $370.He has twice as many $20 checks as $50 checks. How many of each denomination of traveler's checks does he have?
Answers
Answer:
Six 20$ bills, Three 50$ bills, One $100 bill
Step-by-step explanation:
6x20=120
3x50=150
1x100=100
120+150+100=370
and there are twice as many 20$ checks than 50$ checks
Find the slope of the line that passes through the points (2,4) and (6, 12)
O 1/2
0-1/2
O 2/1
0-2/1
Answers
Answer:
The slope is 2 or 2/1
Step-by-step explanation:
if f (x) =2x+1 and the domain of f is (5,25,50) what is the range of f
Answers
Answer:
(11,51,101)
Step-by-step explanation:
f(5)=11
f(25)=51
f(50)=101
Oliver has of a gallon of water. He pours all of the water into 6 containers. If he pours the same amount of water into each container, how many gallons of water does Oliver pour into each container?
Answers
Answer:
I believe it is 1/3 of a gallon
Step-by-step explanation:
because he pours it into 6 containers (which make each container hold 1/6 of a gallon)
then he pours the same amount again which will make it 2/6 of a gallon and 2/6 simplified is 1/3
Hola, ¿cómo tienes un buen día (puntos gratis)
DON'T ANSWER IF YOU DONT KNOW SPANISH OR SOMETHING WILL HAPPEN
Answers
Answer:
Buena y como estas?
¡También gracias!
Answer:
bien, como te va a ti?
Step-by-step explanation:
saludos
how do speak to a real person
Answers
Answer:
Use your words, it's easy hun.
Step-by-step explanation:
thinking about what you what to say, open your mouth, and speak.
What is -8.3 - (-5.4)? Lon got -13.7 as the correct answer. Do you agree or disagree? Explain why.
Answers
Which equation describes a line that has a slope of -2/3 and passes through the point (-6,9)?
A y= -2/3x+9
B y= -2/3x+5
C y= 5x-2/3
D y= -6x+9
Answers
Which of the following is the abbreviation for a milligram?
g
mig
Mg
mg
Answers
Milligram is mg.
Mg is not milligrams!
x- 6y > 5
7x + 2y ???????????
Answers
Answer:
.
Step-by-step explanation:
Answer:
7x+2>=4
Step-by-step explanation:
70-4=66>=4
so,answer is Yes
Please help me I’m stuck in this class work for a while
Answers
Answer:
Step-by-step explanation:
Use y=mx+b so do y1-y2 over x2-x1 to get the slope then do y=m(slope)x+b and whatever number you get from doing slope(x-x1) you substitute your x1 with the number and subtract or add to get y=slope + whatever number you have left after you did the inverse on both sides
for example: y=-2x-3.
What is the equation of the line that passes through the point (1, 3) and has a slope of
-3?
Answers
Answer/explanation - You only need another point on the line through ,
S
,
and the vector −
Q
−
P
is parallel to the given line through ,.
P
,
Q
.
So another point on the line through
S
parallel is +−.
S
+
Q
−
P
.
Then in the desired form that line is +(+−),
x
S
+
y
(
S
+
Q
−
P
)
,
where +=1.
Answer:
y=-3x+6
Step-by-step explanation:
3=-3*1+b
3=-3+b
b=6
y=-3x+6
-3*1 is -3+6 is 3
What is the y-intercept of the line given by the equation below?
y=-10x + 14
A. (0, -10)
B. (14,0)
C. (0, 14)
D. (-10,0)
Answers
Answer:
the answer is C. (0,14)
find the value of x and y. if (x+y,1) =(2,2x-y)
Answers
Answer:
x=1/3. y=3/2
Step-by-step explanation:
x+y=2. =>equation 1
2x-y = 1. => equation 2
equation 1 + equation 2,
x+y+(2x-y) = 2-1
x+y+2x-y = 1
3x = 1
x=1/3
plug in value of x in equation 1,
1/2 + y = 2
y= 2 - 1/2
y = 3/2
A radio station gave away 192 tickets to a concert. They gave away 5 times as many tickets to listeners as they gave to employees. How many tickets did they give away to employees?
Answers
Answer:
Tickets to workers= 32
Step-by-step explanation:
Giving the following information:
Total tickets= 192
They gave away 5 times as many tickets to listeners as they gave to employees.
We will use the rule of 3:
6/6=192
5/6= ? = 192*(5/6) = 160
They gave 160 tickets to listeners.
Tickets to workers= 192 - 160= 32
Prove:
32*5= 160
Determine the average rate of change over left curly bracket negative 4 less or equal than x less or equal than 4 bold right curly bracket. Do NOT simplify.
Answers
Answer:
{-4≤ x≤ 4}
The average rate of change would be 1 for f(x) = x.
Step-by-step explanation:
Suppose we have a range a≤x≤b, then the average rate of change can be calculated by =f(b) - f(a)/b-a
The given range lies from -4 to 4 as {-4≤ x≤ 4}
The range of this is from -4 to 4.It includes all the numbers ranging from -4 to 4.
The average rate of change of the function is calculated by
= f(4) - f(-4)/4-(-4)
Suppose f(x)= x then f(4)= 4 and f(-4)= -4
Then
4- (-4)/ 4- (-4)
= 8/8= 1
So the average rate of change would be 1.
Linda is carrying 40 grams of seeds.
She puts these seeds, in equal amounts, into 4 bags.
What is the mass of seeds in each bag?
Answers
Answer: 10 grams
Step-by-step explanation: 40 grams÷ 10 bags = 4 grams per bag
-5x+(- 15 ) = 20
distributive property
Answers
Answer:
-5x+(- 15 ) = 20
x=-7
Step by Step
-5x+(-15)= 20 becomes
-5-15=20 add 15 tp (15 and 20)
-5x=35 ( divide by 51
x=-7
solve this equation step by step
t - 27 = - (27-t)
Answers
Answer:
infinite number of solutions
Step-by-step explanation:
Given
t - 27 = - (27 - t) ← distribute
t - 27 = - 27 + t
Since both sides are the same then there are an infinite number of solutions
What is the area of a scaled copy if the original figure's area is 36 and the scaled copy is 2/3?
Answers
Answer:
24
Step-by-step explanation:
1/3 of 36 is 12 then 12 x 2 is equal to 24
I need Help please!!!
Answers
Answer:
I believe it is B!
Step-by-step explanation:
Which system of equations has no solution?
5 x + 5 y = 10 and 2 x + 2 y = 4
3 x minus 6 y = 4 and negative 4 x + 8 y = 7
6 x + 2 y = 6 and 7 x + 3 y = 9
3 x minus 4 y = 16 and 2 x + 3 y = 5
Answers
The equation which has no solutions is 5 x + 5 y = 10 and 2 x + 2 y = 4
What is equation?
An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
As,
5 x + 5 y = 10 and 2 x + 2 y = 4
a1= 5, b1= 5, c1 = -10
a2= 2, b2= 2, c2 = -4
Now, a1/ a2 = 5/2
b1/ b2= 5/2
c1/ c2= -10/-4 = 5/2
Hence, a1/a2= b1/b2= c1/c2
So, the pair of equation has no solution.
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