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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:

Respuesta :

s1m1

Answer:

$11, 2t +5

Step-by-step 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

r3t40

Cost of parking with respect to time can be denoted as a function [tex]c(t)[/tex]. (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,

[tex]c(t)=5[/tex]

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 [tex]5+1\cdot2=7[/tex] dollars and after 3 hours we will pay a total of [tex]5+3\cdot 2=\boxed{11}[/tex] dollars.

So our function of cost does depend on time, namely

[tex]\boxed{c(t)=5+2t}[/tex].

Hope this helps.