Jess uses her office scanner to scan pages at the rate of $0.09 per page. She decides to rent a scanner for $70 a year. The cost of scanning using the rented scanner is $0.02 per page.

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 office scanner. Define the variable used.

Question

Jess uses her office scanner to scan pages at the rate of $0.09 per page. She decides to rent a scanner for $70 a year. The cost of scanning using the rented scanner is $0.02 per page.

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 office scanner. Define the variable used.

compassionate · Answer

9x - 2 > 70

aurorab · Answer

it looks so easy!!! I don't get it!! AHH

compassionate · Answer

So we know she charges 9 cents to scan a page. 
We know it cost 2 cents to scan one page. Right?

So, we would put: 9x (for the number of pages scanned) 
Now, we need to subtract 2y(for the cost of each scanned page

Now that has to be greater than the cost to rent the printer, or seventy.

aurorab · Answer

yes this makes more since when explained! thank you so much (:

perl · Answer

I recently worked on a problem similar to this. I believe the inequality should be
$$\Large  70 + 0.02  x < 0.09 x $$
x is the same variable on both sides because we are printing the same number of pages in order to make a comparison