Question

At bike shop x it costs $2.25 per hour plus. A $3.00 deposit to rent a bike at bike shop z it costs $1.25 per hour plus a $9.00 deposit to rent a bike the total 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 out how many hours you have to rent. The bike for the cost to be the same

Answer 1

Bike shop x:

Deposit: $3.00

Hour plus: $2.25

Bike shop z:

Deposit: $9.00

Hour plus: $1.25

Bike shop x:

`c=2.25n\text{ +3}`

Bike shop z:

`c=1.25n+9`

To have the same cost at both shops:

`\begin{gathered} 2.25n\text{+3 =1.25n+9} \\ 2.25n-1.25n=9-3 \\ 1n=6 \\ n=6 \end{gathered}`