Question

Company A rents copy machines for $300 a month plus $0.50 per copy. Company B charges $600 a month plus $0.01 per copy. For which number of companies do the two companies charge the same amount?

Answer 1

For 612 copies both companies will charge the same amount.

Explanation:

Consider the provided information.

let x represents the number of copies and y represents the total charge.

Company A rents copy machines for $300 a month plus $0.50 per copy.

`y = 300 + 0.5x`

Company B charges $600 a month plus $0.01 per copy.

`y=600 + 0.01x`

We need to determine the number of copies for which two companies charge the same amount, so equate the equations as shown.

`300 + 0.50x = 600 + 0.01x\\0.49x=300\\x\approx612.244`

The Approximate value of x to nearest whole number is 612.

Hence, for 612 copies both companies will charge the same amount.