Question

Emily uses her college photocopier machine to photocopy at the rate of $0.08 per page. She decides to rent a photocopier machine for $90 a year. The cost of photocopying using the rented machine is $0.03 per page.

Part A: Write an inequality that can be used to calculate the number of pages that Emily should photocopy in a year so that the amount she pays for the rented machine is less than the college machine. Define the variable used. (

Part B: How many pages should Emily print in a year to justify renting the photocopier? Show your work.

Answer 1

@DanJS

Answer 2

Money to rent <money college machine

Answer 3

P = # pages printed
Money to rent = $90 + 0.03*P

Answer 4

college machine money = 0.08*P

Answer 5

so in order that the rented machine be cheaper

90 + 0.03*P < 0.08*P

Answer 6

right?

Answer 7

0.05*P > 90

P > 1800 pages

She needs to print more than 1800 pages to make the rented machine a better deal

Answer 8

wait do i solve the inequality and is that new problem ur making for Part B?

Answer 9

@DanJS

Answer 10

and the rented machine is cheaper ryt?

Answer 11

part A is setting up the inequality

Cost to rent < cost to use college machine

Answer 12

90 + 0.03P < 0.08P

Answer 13

90 plus 3 cents per page times number or pages < 8 cents per page times number of pages P

Answer 14

p IS THE NUMBER OF PAGES PRINTED

Answer 15

solving that is part B,

90 <0.05P

P>1800 pages

If she prints more than 1800 pages, then it is more cost effective to rent a machine

Answer 16

ohhhh wait it sounds stupid :( but how did u get 1800 did u multiply 90 *0.05?

Answer 17

@DanJS

Answer 18

overall i wrote this

Part A-
Money to rent < Money for the college photocopier machine

P= #of pages printed
Money to rent= $90 +0.03*P
Cost to use the college photocopier machine = 0.08*P
90+0.03*P < 0.08*P
Cost to rent<Cost to use the college photocopier machine

Part B-
90<0.05*P
P>1800pages
If Emily will print more than 1800 pages per year than it is wiser to rent the machine.

is that right?

Answer 19

looks perfect

Answer 20

:D thanks more? i'll post to a different question

Answer 21

can u check one on here tho ? @DanJS

Answer 22

sure

Answer 23

Jose is comparing the prices of two carpet cleaning companies. Company A charges $0.40 per square foot of carpet area and an additional $22 per day for services. Company B charges 0.60 per square foot of carpet area and an additional $18 per day for services.

Part A: Write equations to represent Company A's and Company B's total charges for cleaning a certain carpet area in a day. Define the variable used in the equations.

Part B: Which company would charge less for cleaning 500 square feet of carpet area? Justify your answer.

Part C: How much money is saved by using the services of Company A instead of Company B for cleaning 200 square feet of carpet area?

Answer 24

i answered Part A-
Company A:
y=0.40x +22

Company B:
y=0.60x+18

x=the amount of square feet of carpet.

Part B-
Company A:
y=0.40x +22
y=0.40(500)+22
y=222

Company B:
y=0.60x+18
y=0.60(500)+18
y=318

Company A would charge less because $222 dollars is less than $318 dollars for company B's services.

Part C-
Company A= $122
Company B= $138
$138-$122= $16
$16 dollars is saved.

Answer 25

looks good, for the defining variables part in part a) also say that Y= the total money charged for x square feet of carpet

Answer 26

y(x), y is a function of x, total charged is a function of square feet of carpet

Answer 27

I get it :D

Answer 28

@DanJS thanks so much

Answer 29

no prob