Question

Jamie rents a photocopier from a company that charges $20 each month plus $0.02 for each copy. Calculate the number of copies Jamie was charged for if his monthly bill was $56.

Answer 1

1,800 copies.

Step-by-step explanation:

The monthly fixed charge of renting the photocopier = $20

Cost for each copy = $0.02

If Jamie makes x copies, his cost will be $0.02x.

Therefore, his monthly bill will be:

`\begin{gathered} \text{Monthly Bill=Fixed Charge+Cost of x copies} \\ y=20+0.02x \end{gathered}`

If Jamie's monthly bill was $56, we have:

`56=20+0.02x`

We then solve for x, the number of copies made.

`\begin{gathered} 56-20=0.02x \\ 36=0.02x \\ (36)/(0.02)=(0.02x)/(0.02) \\ 1800=x \\ \implies x=1800 \end{gathered}`

Jamie was charged for 1,800 copies.

Step-by-step explanation: