- freemap

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

- chestercat

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- freemap

How do I solve this?

- Vocaloid

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

- freemap

ok, can you stay while I solve it

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## More answers

- Vocaloid

sure

- Vocaloid

one more time:
(50,32) and (100,57)

- freemap

lol ok

- freemap

If you use slope, its .418

- Vocaloid

you sure?
(50,32) and (100,57)
slope = (y2-y1)/(x2-x1)

- Vocaloid

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

- freemap

ok wow I did that wrong, sorry

- freemap

-7/43= -.1627

- Vocaloid

still not right

- Vocaloid

57-32 = ?

- freemap

25

- Vocaloid

100-50 = ?

- freemap

oh, i thought i had to use slope

- Vocaloid

we are using slope

- Vocaloid

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

- freemap

25/50 =.5=1/2

- Vocaloid

good, so our slope is 1/2
know how to finish from here?

- freemap

I have no clue how to finish

- freemap

please help me out

- freemap

B or C

- Vocaloid

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

- freemap

OK, just a sec

- freemap

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

- freemap

32+-50 is 18

- freemap

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

- freemap

Please help

- freemap

- freemap

B or C

- Vocaloid

y-32=1/2(x-50)
start by distributing the 1/2

- freemap

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

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