At the bike shop x, it cost $2.75 per hour plus a $3.00 deposit to rent a bike. AT Bike shop z cost $1.75 per hour plus a $7.00 deposit to rent a bike.

A. write a system of the equation that could be used to find c, the total cost for renting a bike for n hours at each shop

Multiply the rate per hour by the number of hours (n) and add the deposit.

A)

Bike shop x: c = 2.75n + 3.00

Bike shop z: c = 1.75n + 7.00

B) to find when they will cost the same set the equations equal to each other and solve for n:

2.75n + 3.00 = 1.75n + 7.00

Subtract 3 from each side:

2.75n = 1.75n + 4.00

Subtract 1.75n from both sides:

1.00n = 4.00

Divide both sides by 1:

n = 4 hours