Question

help? 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.

Answer 1

what is the question?

Answer 2

i need help with part a @SolomonZelman

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.

Answer 3

Lets work this together, OK?

Answer 4

ok

Answer 5

1) let x represent number of pages
2) each page cost .10+.06
3) additional $80 dollars per year

I don't exactly understand the question though....

Answer 6

"the amount she pays for the rented machine is less than the office machine" what do you mean by less than office machine?

Answer 7

she makes 80.16 per year? @SolomonZelman

Answer 8

Oh, my bad I finally understood the question!

Answer 9

Look the w/o the machine she pays .10 per page, with it she pays .6

Answer 10

@lonelyflowers so far so good?

Answer 11

I'm not getting it :/

Answer 12

can you tell me how i could calculate this?

Answer 13

Do you get why I said that w/o the machine she pays .10 per page, with it she pays .6?

Answer 14

no, could you tell me why? im sorry im really bad in math this is my first yr in highschool

Answer 15

THIS IS YOUR PROBLEM.
help? 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.
look at:
"to send fax at the rate of $0.10 per page"
"cost of sending a fax using the rented machine is $0.06 per page."

see?

Answer 16

yes.

Answer 17

OK, the machine is $80 dollars.

Answer 18

Office machine is .10 per page &
Rental machine is .6 per page

Answer 19

ok. so how can i write an inequality for this?

Answer 20

The difference per page .04
in other words, every page she saves $.04 (using rental machine)

Answer 21

so let x represent the number of pages
and 80 dollars the amount that is supposed to be paid off.

Answer 22

.04x>80

Answer 23

@lonelyflowers with me? can you do it now?

Answer 24

Every time i calculate it, I get 80.16 this is really difficult for me im not getting it at all :/

Answer 25

Do you see how I got the equation above?

Answer 26

.04*80=32?

Answer 27

Can you tell me whether you understood why is the equation '.04x>80' ?

Answer 28

are you talking about greater than?

Answer 29

do you see my color now?)

Answer 30

About everything, the .04x>80 do you understand that?

Answer 31

yes

Answer 32

So once you got the equation-
\[.04x>80\]\[.04x \div .04> 80 \div .04\] same as (b/c 25 is a multiplicative inverse of .04)\[.04x \times 25=80 \times 25\]\[x>80 \times 25\]\[x>2000\]\[(•‿•) \]

Answer 33

so i put this for part a?

Answer 34

Basically. If you get what I did.
I'll ask a couple questions to make sure you understood, okay?

Answer 35

ok.

Answer 36

where did I get the number '0.04' from?

where do I get .04x from?

why do I set it to equal more than 80?

Answer 37

every page she saves is 0.04
x represents .04x
and you set equal more than 80 because she rents the machine for 80 a year?

Answer 38

Yup! and the reason that .04x is more than 80 rather than less than 80, is b/c the q was asking for "...rented machine is less than ..."

right?

Answer 39

yes.

Answer 40

\[(•‿•) \]

Answer 41

Part A, that's it?

Answer 42

ok so what do i put for part a now that we solved this? and theres a part b and then im finished.

Answer 43

well the equation you wrote do i put that for part a ?

Answer 44

for the final answer,
x>2000

Answer 45

okay?

Answer 46

What is the Part b?

Answer 47

ok so x>2000 for part a

this is part b

Part B: How many pages should Sandra fax in a year to justify renting the fax machine? Show your work.

Answer 48

in other words, after how many pages will the cost of renting the achine be paid off. (in Economic terms).

Answer 49

I misread the question, I already gave you the part b, it is 2000 or more.
for part a....

Answer 50

04.x>80 that is the equation that can be used to calculate... as I showed the steps above.

Answer 51

So Part A is .04x>80
& Part B is (at least) 2000

Answer 52

Ok. thanks!

Answer 53

i can put this for part A?
.04x>80
.04x÷.04>80÷.04
same as (b/c 25 is a multiplicative inverse of .04)
.04x×25=80×25
x>80×25
x>2000

Answer 54

okay nevermind i get it now, thanks :)

Answer 55

Ok, but have you understood, b/c that's why we are here.