anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Hero
  • Hero
Hint: apply slope formula 2nd Hint: apply point-slope formula
Hero
  • Hero
3rd Hint: \[(x_1, y_1) = (15,000, 96)\]\[(x_2, y_2) = (15,740, 94)\]
anonymous
  • anonymous
so 15000-15740/94-96

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
well the answer I had in the end was 740/-3
Hero
  • Hero
m = 740/-2 = -370
anonymous
  • anonymous
ok thats where I think I was going wrong. Been a late night
anonymous
  • anonymous
so then the next step would be -370x+b?
Hero
  • Hero
Nevermind, we both made the same mistake
Hero
  • Hero
It's correct except, we both had the wrong setup
anonymous
  • anonymous
ok so its not -370?
Hero
  • Hero
\[\frac{96 - 94}{15000 - 15740}\]
Hero
  • Hero
No, it's not -370.... that's what I meant by "wrong setup"
anonymous
  • anonymous
ok so 2/-740
Hero
  • Hero
or - 1/370 always simplify to lowest terms
anonymous
  • anonymous
ok and I take that to x and add it to what? the y1?
Hero
  • Hero
No, that's our m = slope, value
Hero
  • Hero
We need to apply this formula: \[y - y_1 = m(x - x_1)\]
anonymous
  • anonymous
ok now I see where I am at
Hero
  • Hero
\[y - 15000 = -\frac{(x-96)}{370}\]
Hero
  • Hero
\[y - 15000 = \frac{96 - x}{370}\]
anonymous
  • anonymous
then add the 1500 to both sides correct
Hero
  • Hero
\[y = \frac{96 - x}{370} + 15000\]
Hero
  • Hero
We can simplify that a little further
anonymous
  • anonymous
ok
anonymous
  • anonymous
48-x/185?
Hero
  • Hero
What did you do with the 15,000?
Hero
  • Hero
That's the formula expressed in terms of one fraction
anonymous
  • anonymous
I have not done anything yet but I will add it to the total minus x
anonymous
  • anonymous
ok
Hero
  • Hero
Hold on let me double check my work
Hero
  • Hero
You should re-post the question. I must not have the right approach here because something is off
Hero
  • Hero
Yeah, I think the x and y should be flipped
Hero
  • Hero
It's the price that determines how many calculators will be sold. I apologize
Hero
  • Hero
so m = -370
anonymous
  • anonymous
ok
Hero
  • Hero
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
anonymous
  • anonymous
ok got it its: -370x+50520
Hero
  • Hero
Yes, that's it
anonymous
  • anonymous
I submitted it and its correct. Thank you for your help
Hero
  • Hero
Yes, it is correct
anonymous
  • anonymous
thank you for your time and help

Looking for something else?

Not the answer you are looking for? Search for more explanations.