Question

Mackenzie is driving to a concert and needs to pay for parking. There is an

automatic fee of $5 just to enter the parking lot, and when she leaves the lot,
she will have to pay an additional $2 for every hour she had her car in the lot.
How much total money would Mackenzie have to pay for parking if she left
her car in the lot for 3 hours? How much would Mackenzie have to pay
if she
left her car in the lot for t hours?
Cost of parking for 3 hours:
|
Cost of parking for t hours:

Answer 1

Cost of parking with respect to time can be denoted as a function
`c(t)`. (t in hours)

When we park the car we automatically pay 5 dollars no matter how long we stay. So the first step to building our cost function is a simple constant,

`c(t)=5`

But we also given that every hour we will pay 2 extra dollars. This means that after 1 hour we will pay the total of
`5+1\cdot2=7` dollars and after 3 hours we will pay a total of
`5+3\cdot 2=\boxed{11}` dollars.

So our function of cost does depend on time, namely

`\boxed{c(t)=5+2t}`.

Hope this helps.

Answer 2

$11, 2t +5

Explanation:

She has to pay $5 to enter + $2 * number or hours

Cost of parking for 3 hours

$5 + 3*$2 = 5+ 6 = $ 11

Cost of parking for t hours

$5 + t *$2 = 2t +5