Question

Juno is taking a taxi. The table represents a linear function and shows the amount she owed after various numbers of miles traveled. Is the rate of change 2.25?

Amount Juno Owed for a Taxi
Miles
Amount Owed (dollars)
1
2.5
2
4.75
3
7
4
9.25
5
11.5


Yes, because the amount owed changes by 1 every time the miles change by 2.25.
Yes, because the amount owed changes by 2.25 every time the miles change by 1.
No, because the amount owed does not change by 1 every time the miles change by 2.25.
No, because the amount owed does not change by 2.25 every time the miles change by 1.

Answer 1

b

Explanation:

b

b

b

b

Answer 2

(B) - Yes, because the amount owed changes by 2.25 every time the miles change by 1.

Starting at 1 mile the price is 2.5 dollars.

Mile 2 is 4.75 dollars. What is the difference between 4.75 and 2.5? 2.25

Mile 3 is 7 dollars. What is the difference between 7 and 4.75? 2.25

Mile 4 is 9.25 dollars. What is the difference between 9.25 and 7? 2.25

Mule 5 is 11.5 dollars. What is the difference between 11.5 and 9.25? 2.25

The change is always 2.25 dollars.

The change is 2.25 dollars per mile.

One way to solve for this is (11.5 - 2.5)/(5-1)=2.25

This is (y2-y1)/(x2-x1). By picking 2 points, (x1,y1) and (x2,y2) you can solve for the slope (rate of change) between them.