Question

At an airport, its costs $7 to park for up to one hour and $5 per hour for each additional hour. Let x represent the number of hours parked. Write a function that models the cost, C(x), of parking x hours, where x is an integer greater than 1.

A: C(x)=5x+12
B: C(x)=5(x+1)+7
C: C(x)=5(x-1)+7
D: C(x)=5x+7

Answer 1

the answer is the option C

`C(x)=5(x-1)+7`

Explanation:

Let

x------> the number of hours parked

C(t)----> the cost of parking

we know that

`C(x)=5(x-1)+7` -----> equation that represent the situation

Verify

For
`x=1\ hour`

substitute the value of x

`C(1)=5(1-1)+7=\$7` ------> is correct

For
`x=2\ hour`

substitute the value of x

`C(2)=5(2-1)+7=\$5+\$7=\$12` ------> is correct

Answer 2

C: C(X)=5(x-1)+7

because x-1 represents the fact that the first hour costs $7 and then x times 5 represents the fact that each hour after that costs $5