Question

A garage charges the following rates for parking with an 8 hour limit) 14 per hour for the first 2 hours $2 per hour for the next 4 hours No additional charge for the next 2 hours Express the cost C in dollars) as a function of the time t (in hours) that a car is parked in the garage C(t){.... {...... {..... {...... {..... {.......

Answer 1

Let t represent the time

Let C(t) represent the charge at a particular time

For the first 2 hours, the charge is $4 per hour

This can be expressed mathematically as:

C(t) = 4t for 0 < t ≤ 2

For the next 4 hours, the charge is $2 per hour

This can be expressed mathematically as:

C(t) = 8 + 2(t-2) for 2 < t ≤ 6

C(t) = 2t + 4 for 2 < t ≤ 6

For the last 2 hours, there is no charge

C(t) = 16 for 6 < t ≤ 8

This can be written summarily as: