Q:

Select ALL the correct answers. Richard is renting a bike. The cost of renting a bike for the first hour is $7. He is charged $2.50 for every additional hour of renting the bike.Select all the functions that can be used to find the total amount that Richard is charged, f(n), for renting the bike for n hours.f(n) = 2.50n + 7f(n) = 4.50n + 2.50f(1) = 2.50; f(n) = f(n - 1) + 7, for n ≥ 2f(1) = 4.50; f(n) = f(n - 1) + 2.50, for n ≥ 2f(n) = 2.50n + 4.50f(1) = 7; f(n) = f(n - 1) + 2.50, for n ≥ 2

Accepted Solution

A:
Be:
Number of hours: n

The cost of renting a bike for the first hour is $7:
n=1→f(n)=f(1)=$7

He is charged $2.50 for every additional hour of renting the bike:
f(n)=f(n-1)+2.50, for n ≥ 2

f(1)=7; f(n)=f(n-1)+2.50, for n ≥ 2 (sixth option)

f(n)=f(1)+2.50(n-1)
f(n)=7+2.50(n-1)
f(n)=7+2.50n-2.50
f(n)=2.50n+4.50 (fifth option)

Answers:
Fifth option: f(n)=2.50n+4.50, and
Sixth option: f(1)=7; f(n)=f(n-1)+2.50, for n ≥ 2