At an airport, it cost 7 to park for one hour and 5 per hour for each additional hour.Let x represent the number hours parked.wr
ite the function that models the cost,C(x), of parking x hours, where x is an integer greater than 1. PLEASE DON'T DO THE WRONG AWNSER I NEED THIS
And Thanks :D
Giving 11 Points :D =__=__=__+1__=__=__=
The cost of parking is an initial cost plus an hourly cost. The first hour costs $7. You need a function for the cost of more than 1 hour, meaning 2, 3, 4, etc. hours. Each hour after the first hour costs $5.
Notice the pattern above in the middle column. The number of $5 charges you add is one less than the number of hours. For 2 hours, you only add one $5 charge. For 3 hours, you add two $5 charges.
Since the number of hours is x, according to the problem, 1 hour less than the number of hours is x - 1.
The fixed charge is the $7 for the first hour. Each additional hour is $5, so you multiply 1 less than the number of hours, x - 1, by 5 and add to 7.
C(x) = 7 + 5(x - 1)
This can be left as it is, or it can be simplified as
C(x) = 7 + 5x - 5
C(x) = 5x + 2
Answer: C(x) = 5x + 2
Check: For 2 hours: C(2) = 5(2) + 2 = 10 + 2 = 12 For 3 hours: C(3) = 5(3) + 2 = 15 + 2 = 17 For 4 hours: C(3) = 5(4) + 2 = 20 + 2 = 22 Notice that the totals for 2, 3, 4 hours here are the same as the right column in the table above.
