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 s

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​

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Trung Dũng 5 years 2021-08-16T04:27:44+00:00 1 Answers 224 views 0

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    2021-08-16T04:29:15+00:00

    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:

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