Problema Solution
Sandra uses her office fax machine to send fax at the rate of $0.10 per page. She decides to rent a fax machine for $80 a year. The cost of sending a fax using the rented machine is $0.06 per page.
Part A: Write an inequality the can be used to calculate the number of pages that Sandra should fax in a year so that the amount she pays for the rented machine is less than the office machine. Define the variable used.
Part B: How many pages should Sandra fax in a year to justify renting the fax machine? Show your work.
Answer provided by our tutors
Part A: Write an inequality the can be used to calculate the number of pages that Sandra should fax in a year so that the amount she pays for the rented machine is less than the office machine. Define the variable used.
let 'x' be the number of pages that Sandra should fax. x is the variable that we will use.
using the office fax machine for x pages she will need to pay: 0.10x
using the rented fax machine she will pay: 80 + 0.06x
the amount she pays for the rented machine is less than the office machine can be written as the inequality
80 + 0.06x < 0.10x
Part B: How many pages should Sandra fax in a year to justify renting the fax machine? Show your work.
we find the answer by solving the inequality
80 + 0.06x < 0.10x
x > 2000
click here to see the step by step solution of the inequality
Sandra should fax more then 2000 pages to justify the renting of the fax machine.