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

Yes — option 2. The amount owed increases by $2.25 for each 1-mile increase (e.g. 4.75 − 2.50 = 2.25, 7.00 − 4.75 = 2.25), so the rate of change is 2.25 dollars per mile.