A parking garage charges the rate in the table below. What is the rate of change? Don’t forget your units.
number of hours (1) (3) (5)
cost of parking ($10) ($14) ($16)
To find the rate of change, we need to determine how much the cost of parking changes for each additional hour.
For the given data, the cost of parking increases by $4 from the first hour to the third hour (10 to 14) and then increases by $2 from the third hour to the fifth hour (14 to 16).
Therefore, the rate of change for this parking garage is $4 per hour.
To find the rate of change, we need to determine how the cost of parking changes with respect to the number of hours.
The rate of change can be calculated by finding the difference in cost and dividing it by the difference in hours.
Difference in cost = $16 - $10 = $6
Difference in hours = 5 - 1 = 4
Rate of change = Difference in cost / Difference in hours
Rate of change = $6 / 4
Therefore, the rate of change is $1.50 per hour.
To find the rate of change, we need to determine how much the cost of parking changes per hour.
The initial cost of parking is $10 for 1 hour, and after 3 hours, the cost increases to $14. This means that in 2 hours (from 1 to 3), the cost increases by $14 - $10 = $4.
Similarly, after 5 hours, the cost increases to $16. So, in 2 more hours (from 3 to 5), the cost increases by $16 - $14 = $2.
We can observe that for every 2 hours, the cost increases by $4 - $2 = $2.
Therefore, the rate of change is $2 per 2 hours, or $1 per hour.
So, the rate of change in this case is $1 per hour.