Question

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. (5 points)

Part B: How many pages should Sandra fax in a year to justify renting the fax machine? Show your work. (5 points)

Answer 1

Her office fax machine seems to be using so much power/watever the fax machine eats to send the fax : $0.10 per page !

Answer 2

So she decides to rent a smart fax machine for an year, which can send the fax at a very low price : just $0.06 per page

Answer 3

you get this far eh ?

Answer 4

But the new fax machine doesnt come freely, she has to pay rent of $80 per year

Answer 5

say she prints \(x\) pages in a year,
so the cost for printing these pages using new RENTED fax machine = ?

Answer 6

80+0.06x

Answer 7

Perfect !

so, how much it would have costed, if she kept using the Office dumb fax machine oly ?

Answer 8

cost for prining \(x\) pages using the existing office fax machine : $0.1x

Answer 9

0.10x

Answer 10

to break even, we need the cost of RENTED machine to be LESS than this guy ok

Answer 11

so, set up an inequality

Answer 12

can u ? :)

Answer 13

80+0.06x=0.10x?

Answer 14

*inequality girly

Answer 15

\(80+0.06x \color{red}{<} 0.10x\)

Answer 16

cost wid NEW rented fax machine must have to be less than the cost for faxing wid the OLD office machine. then oly she can justify to her boss renting the new machine

Answer 17

80+0.06x < 0.10x

80<0.04x

Answer 18

Yes !
move to part B, and simply solve the inequality for x

Answer 19

3000<x

Answer 20

careful

Answer 21

80<0.04x

8000 < 4x

8000/4 < x

2000 < x

Answer 22

so part b is 2000 pages? @ganeshie8

Answer 23

and where did you get 8000

Answer 24

yes 2000 or greater

Answer 25

80<0.04x

multiply both sides by 100

Answer 26

you wud get 8000 on left side,
4x on right side

Answer 27

could i show you another question, im already done i just wanna make sure its right.

Answer 28

sure :)

Answer 29

This is the question:
Harry has a jar that contains 75% of apple juice and the rest water. The bottle has 1 liter of water.

Part A: Write an equation in one variable that can be used to find the total number of liters of apple juice and water in the jar. Define the variable used in the equation. (5 points)

Part B: How many liters of apple juice are present in the jar? Show your work. (5 points)

Answer 30

Part A:
The total volume be x liters
There's 75% apple juice, (75/100)*x 0.75x
total volume=0.75x+1
x=0.75x+1

Part B:
0.25x=1 x=4
there's 0.75x liters apple juice present in the container
0.75*x

Answer 31

Part A is good,
let me adjust Part B a bit

Answer 32

Part B:
0.25x=1 x=4
there's 0.75x liters apple juice present in the container
0.75*x = 0.75*4 = 3
So, there is 3 liters of apple juice present in the container

Answer 33

thank you!

Answer 34

u wlc !