Question

A manufacturer of graphing calculators has determined that 15,000 calculators per week will be sold at a price of $96. At a price of $94, it is estimated that 15,740 calculators would be sold.

(a) Determine a linear function that will predict the number of calculators y that would be sold at a given price x.

Answer 1

Hint: apply slope formula
2nd Hint: apply point-slope formula

Answer 2

3rd Hint:

\[(x_1, y_1) = (15,000, 96)\]\[(x_2, y_2) = (15,740, 94)\]

Answer 3

so 15000-15740/94-96

Answer 4

well the answer I had in the end was 740/-3

Answer 5

m = 740/-2 = -370

Answer 6

ok thats where I think I was going wrong. Been a late night

Answer 7

so then the next step would be -370x+b?

Answer 8

Nevermind, we both made the same mistake

Answer 9

It's correct except, we both had the wrong setup

Answer 10

ok so its not -370?

Answer 11

\[\frac{96 - 94}{15000 - 15740}\]

Answer 12

No, it's not -370....

that's what I meant by "wrong setup"

Answer 13

ok so 2/-740

Answer 14

or - 1/370

always simplify to lowest terms

Answer 15

ok and I take that to x and add it to what? the y1?

Answer 16

No, that's our m = slope, value

Answer 17

We need to apply this formula:

\[y - y_1 = m(x - x_1)\]

Answer 18

ok now I see where I am at

Answer 19

\[y - 15000 = -\frac{(x-96)}{370}\]

Answer 20

\[y - 15000 = \frac{96 - x}{370}\]

Answer 21

then add the 1500 to both sides correct

Answer 22

\[y = \frac{96 - x}{370} + 15000\]

Answer 23

We can simplify that a little further

Answer 24

ok

Answer 25

48-x/185?

Answer 26

What did you do with the 15,000?

Answer 27

That's the formula expressed in terms of one fraction

Answer 28

I have not done anything yet but I will add it to the total minus x

Answer 29

ok

Answer 30

Hold on let me double check my work

Answer 31

You should re-post the question. I must not have the right approach here because something is off

Answer 32

Yeah, I think the x and y should be flipped

Answer 33

It's the price that determines how many calculators will be sold. I apologize

Answer 34

so m = -370

Answer 35

ok

Answer 36

Yeah, plus I mixed up the x and y while computing using the point-slope formula again. It's easy to get mixed up. I kept thinking the y value was 15,000 even though I was supposed to have 96 for the y value..

ugh

Answer 37

ok got it its: -370x+50520

Answer 38

Yes, that's it

Answer 39

I submitted it and its correct. Thank you for your help

Answer 40

Yes, it is correct

Answer 41

thank you for your time and help