Emily uses her college photocopier machine to photocopy at the rate of $0.08 per page. She decides to rent a photocopier machine for $90 a year. The cost of photocopying using the rented machine is $0.03 per page.

Part A: Write an inequality that can be used to calculate the number of pages that Emily should photocopy in a year so that the amount she pays for the rented machine is less than the college machine. Define the variable used. (5 points)

Part B: How many pages should Emily print in a year to justify renting the photocopier? Show your work. (5 points)

Question

Emily uses her college photocopier machine to photocopy at the rate of $0.08 per page. She decides to rent a photocopier machine for $90 a year. The cost of photocopying using the rented machine is $0.03 per page.

 Part A: Write an inequality that can be used to calculate the number of pages that Emily should photocopy in a year so that the amount she pays for the rented machine is less than the college machine. Define the variable used. (5 points)

Part B: How many pages should Emily print in a year to justify renting the photocopier? Show your work. (5 points)

texaschic101 · Answer

p = # of pages
college machine = .08p
rented machine = 90 + .03p

A.) 90 + .03p < .08p

B.) 90 + .03p < .08p ---- subtract .03p from both sides
     90 < .08p - .03p
     90 < .05p --- divide both sides by .05
     1800 < p

anonymous · Answer

Thank you