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

Verified Answer :

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

Answer:

the answer is the option C

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

Step-by-step 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