Question

A bike shop X it costs $1.50 per hour plus a $4.00 deposit to rent a bike. At Bike Shop Z it costs $0.50 per hour plus a $9.00 deposit to rent a bike. The total cost, c, of renting a bike for n hours at either bike shop can be represented by an equation. Write and solve a system of equations to find how many hours you have to rent the bike for the cost to be the same.

Answer 1

4+1.5n=c

9+0.5n=c

5 hours

Explanation:

(n) represents the number of hours

(c) represents the total cost

Bike shop A) $4+$1.5n=c

Bike shop Z) $9+$0.5n=c

4+1.5n=9+0.5n

n=5 Both shops would charge the same amount at 5 hours.