Question

A parking garage charges the rate in the table below. What is the rate of change? Don’t forget your units.
no. hours: 1 3 5
cost of parking: $10 $14 $16

Answer 1

now use another point for x2 and y2
(3,14)
(5,16)

Answer 2

To find the rate of change, we need to calculate the change in cost of parking per hour:

Change in cost = (new cost - old cost) / (new number of hours - old number of hours)

For the first pair of values (1 hour and $10) and the second pair of values (3 hours and $14):
Change in cost = ($14 - $10) / (3 hours - 1 hour)
= $4 / 2 hours
= $2/hour

For the second pair of values (3 hours and $14) and the third pair of values (5 hours and $16):
Change in cost = ($16 - $14) / (5 hours - 3 hours)
= $2 / 2 hours
= $1/hour

Therefore, the rate of change in cost of parking is $2/hour for the first pair of values and $1/hour for the second pair of values.

Answer 3

To find the rate of change using the new points (3,14) and (5,16), we can follow the same steps as before:

Change in cost = (new cost - old cost) / (new number of hours - old number of hours)

For the first pair of values (1 hour and $10) and the new pair of values (3 hours and $14):
Change in cost = ($14 - $10) / (3 hours - 1 hour)
= $4 / 2 hours
= $2/hour

For the new pair of values (3 hours and $14) and (5 hours and $16):
Change in cost = ($16 - $14) / (5 hours - 3 hours)
= $2 / 2 hours
= $1/hour

The rate of change in cost of parking is still $2/hour for the first pair of values and $1/hour for the new pair of values.