Medal?
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.

Part A: 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.

Part B: How many pages should Jess scan in a year to justify renting the scanner? Show your work.

Question

Medal?
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.

Part A: 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. 

Part B: How many pages should Jess scan in a year to justify renting the scanner? Show your work.

aripotta · Answer

Part A: 70 + 0.02x < 0.09x

can you solve for x and do part b by yourself?

anonymous · Answer

O = 0.09x
R = 70 + 0.02x

O is office cost, R is rented cost and x is the number of pages.

to find the number of pages that justify, make O = R and solve for x.

0.09x = 70 + 0.02x

x = 1000

anonymous · Answer

need anything else?

anonymous · Answer

Aballer I'll give you a fan and Ari a medal. And Ari, part b is what confuses me the most.

aripotta · Answer

70 + 0.02x < 0.09x

subtract 0.02x from both sides

70 < 0.07x

divide both sides by 0.07

1000 < x

so x would have to be over 1000 to justify renting it

anonymous · Answer

Ohhhh I see now. Thank you for the help, Ari and baller!

aripotta · Answer

no problem :)