Question

The Pool Fun Company has learned​ that, by pricing a newly released Fun Noodle at $4, sales will reach 8000 Fun Noodles per day during the summer. Raising the price to $5 will cause the sales to fall to 6000 Fun Noodles per day.
Assume that the relationship between sales​ price, x, and number of Fun Noodles​ sold, ​ y, is linear. Write an equation in​ slope-intercept form describing this relationship. Use ordered pairs of the form​ (sales price, number​ sold).

type your answer in slope intercept
b. predict the daily sales of Fun Noodles if the price is $4.50​

Answer 1

Answer: PART A:

The generic equation of the line is:

y-yo = m (x-xo)

First we look for the slope of the line:

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

m = ((5000) - (6000)) / (4-3)

m = -1000

Then, we substitute any point in the generic equation:

(xo, yo) = (4, 5000)

Substituting:

y-5000 = (- 1000) (x-4)

Rewriting:

y = -1000x + 4000 + 5000

y = -1000x + 9000

The equation is:

y = -1000x + 9000

PART B:

For the price of 3.50 we have:

y = -1000 * (3.5) +9000

y = 5500

Step-by-step explanation: