Question

Last week, Hazel paid $32 to have 50 reports printed. This week, she paid $57 to have 100 reports printed. Assume the relationship is linear.

Which equation models the relationship between the number of reports, x, and the cost, y?

A. y=2x+68
B. y=1/2x +7
C. y=1/2x+24
D. y=2x +34

Answer 1

How do I solve this?

Answer 2

x = number of reports
y = cost

using the information in the problem, we can write two points

(32,50) and (57,100)

then you can write an equation for the line that goes through these points

Answer 3

ok, can you stay while I solve it

Answer 4

sure

Answer 5

one more time:

(50,32) and (100,57)

Answer 6

lol ok

Answer 7

If you use slope, its .418

Answer 8

you sure?

(50,32) and (100,57)

slope = (y2-y1)/(x2-x1)

Answer 9

(57-32)/(100-25) = ?

Answer 10

ok wow I did that wrong, sorry

Answer 11

-7/43= -.1627

Answer 12

still not right

Answer 13

57-32 = ?

Answer 14

25

Answer 15

100-50 = ?

Answer 16

oh, i thought i had to use slope

Answer 17

we are using slope

Answer 18

(57-32)/(100-50) = ?

Answer 19

25/50 =.5=1/2

Answer 20

good, so our slope is 1/2

know how to finish from here?

Answer 21

I have no clue how to finish

Answer 22

please help me out

Answer 23

B or C

Answer 24

use the point-slope equation

y-y1 = m(x-x1)

where (x1,y1) = one of the points (either one, take your pick)
and m = slope

Answer 25

OK, just a sec

Answer 26

y-32=1/2(x-50)

Answer 27

32+-50 is 18

Answer 28

oh wait do I have to multiply 1/2 times -50

Answer 29

Please help

Answer 30

@ganeshie8

Answer 31

B or C

Answer 32

y-32=1/2(x-50)

start by distributing the 1/2

Answer 33

I got 7
so the answer is B, forgot to distribute. Thanks so much, real hero