Could somone help me understand how to do this correctly?

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 that 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.

Question

Could somone help me understand how to do this correctly?

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 that 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.

anonymous · Answer

Part B: How many pages should Sandra fax in a year to justify renting the fax machine? Show your work. -part be couldn't fit in the main part

anonymous · Answer

So, to clarify, she earns $0.04 per a page faxed because you subtract $0.06 from $0.10. Now, do $80/$0.10.

jdoe0001 · Answer

Sandra's machine costs $0.10 per page to fax a page
is her machine already, so she paid for it in full
so any overhead has been taken care of by now, thus her cost per page is only 10cents

when renting the new machine, the rental is $80 per year, that doesn't include any pages being faxed, that's just to have the machine in the premises

after the overhead of $80, the fixed or initial charge, for every page she faxes, she gets charged $0.06 or 6cents

part A
for the number of pages faxed with the new machine, and it associated costs, that is, page price and overhead price, she'd need to fax "x pages",  and her cost would be  $\bf 0.06x + 80$

to do the faxing with her office machine, it'd be only $0.10, for "x amount", that'd be $\bf 0.10x$

so for  0.06x+80   to be less than 0.10x, her inequality equation will be... well, it's obvious

jdoe0001 · Answer

part B
how many would she had to fax to have the rented machine cheaper than her office machine?   well, to find out just solve for "x"

anonymous · Answer

Thing is I don't even know what a inequality is via the "Could somone help me understand how to do this correctly?" statment

anonymous · Answer

An inequality is a statement without the equals sign (=). So, it could have the not equal sign (line through = sign), less than sign (<), or greater than sign (>). There's also greater than or equal to and less than or equal to, but those are basically a combo of = and .