Jess uses her scanner to scan pages at the rate of $.09 per page. She decides to rent a scanner for $70 a year. The cost of scanning using the rented scanner is $.02 per page. Please help me write an inequality that can be used to calculate the number of pages that Jess should scan in a year so that the amount she pays for the rented scanner is less than the other scanner.

2 answers

let n be the number of pages scanned

.02n + 70 ≤ .09n
70≤ .02n
or
.02n ≥ 70
n ≥ 3500

so 3500 pages is the break-even point
so anything greater than 3500 she should rent the scanner, at less than 3500 her old scanner will be better.
Maca