Question

Jodie uses her college printer to print pages at the rate of $0.06 per page. She decides to rent a printer for $80 a year. The cost of printing using the rented printer is $0.02 per page.
Here is my inequality:

80 + 0.02p < 0.06p

How many pages should Jodie print in a year to justify renting the printer? Show your work.

Answer 1

I need help solving it & I need help with the problem under the inequality.

Answer 2

@phi

Answer 3

Well, it says justify.. So I would assume less or equal amount. I am not really sure

Answer 4

oh, never mind.. I was confused. Your inequality is fine.

Now we need to solve it.

Answer 5

I would add -0.02p to both sides as a first step.

Answer 6

Okay & Yes I need help with that.. I think you have to subtract 0.02p but I have no idea .-.

Answer 7

Okay.

Answer 8

what do you get ?

Answer 9

0.04p??

Answer 10

what do you get for the whole equation ?

Answer 11

80<0.04p

Answer 12

yes.
80 + 0.02p < 0.06p
80 +0.02p - 0.02p < 0.06p - 0.02p
80 < 0.04p

Answer 13

what should you divide both sides by to get "p" by itself?

Answer 14

0.04..

Answer 15

yes

Answer 16

OKay & I got 2000

Answer 17

so p=2000

Answer 18

you should write out the whole thing:
2000< p
which "says" p is bigger than 2000
and that means if you print more than 2000 pages, the rental is cheaper.

Answer 19

OKay can you help me with one more??

Answer 20

?

Answer 21

Part A: Solve C = 5 over 9 (F - 32) for F. (4 points)

Part B: Determine the value of F when C = 8 °C. (2 points)

Part C: Solve –np – 80 > 60 for n. Show your work. (4 points)

Answer 22

any ideas ?

Answer 23

Not really.. I don't remember how to do this .-.

Answer 24

you could, but I would multiply both sides by the reciprocal of 5/9

Answer 25

OKay so it would like this

C = 5/9 (F-32) (5/9)???

Answer 26

yes, but with equations you do the same thing to both sides

Answer 27

5/9 (5/9) (F-32) (5/9)

Answer 28

where is the C ? and the = sign ?

Answer 29

Sorry I forgot it..

C= 5/9 (5/9) (F-32) (5/9)

Answer 30

Would I multiply it with C?

Answer 31

ok, pay attention:
\[ C = \frac{5}{9} (F-32) \]
the reciprocal of a fraction is the "flipped fraction"

Answer 32

write 9/5* on each side

Answer 33

\[ \frac{9}{5}C = \frac{9}{5}\cdot \frac{5}{9} (F-32) \]

Answer 34

9/5 * C= 9/5 * 5/9 (f-32)

Answer 35

and what is 9/5 * 5/9 ?

Answer 36

One second

Answer 37

no no 1

Answer 38

yes, the idea is that the 9's cancel and the 5's cancel. (That's the reason I picked it)
what do we have now ?

Answer 39

Just this :
C = 1(F-32)

Answer 40

Can we distribute now??

Answer 41

wait. we started with
\[ \frac{9}{5}C = \frac{9}{5}\cdot \frac{5}{9} (F-32) \]

Answer 42

Yes

Answer 43

oh so its 9/5 C = (f-32)

Answer 44

yes.
you can remove the parens (they are not doing anything)
9/5 C = f -32
what should you add to both sides?

Answer 45

you should get
\[ F= \frac{9}{5} C +32 \]