The owner of a grocery store finds she can sell about 982 gallons of milk in a week if she prices it at $2.99 per gallon. If she drops the p

Question

The owner of a grocery store finds she can sell about 982 gallons of milk in a week if she prices it at $2.99 per gallon. If she drops the per-gallon price to $2.79, her weekly sales increase to about 1,204 gallons. Assuming a constant rate of change.

a. Find a model that gives weekly milk sales, in gallons, as a function of the per-gallon dollar price.
b. Predict this store owner’s weekly milk sales if she sets the per-gallon price to $3.15. Only enter the number, in gallons, rounded to nearest integer.

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Claire 2 weeks 2021-09-12T22:27:55+00:00 1 Answer 0

Answers ( )

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    2021-09-12T22:29:29+00:00

    Answer:

    • g = -1110p +4300.9
    • 804 gallons

    Step-by-step explanation:

    a) Price is the independent variable, so the data we are given can be written as …

      (price, gallons) = (2.99, 982) and (2.79, 1204)

    Using the 2-point form of the equation for a line, we have …

      g = (g2 -g1)/(p2 -p1)(p -p1) +g1

      g = (1204 -982)/(2.79 -2.99)(p -2.99) +982

      g = -1110(p -2.99) +982 = -1110p +4300.9

      g = -1110p +4300.9

    __

    b) When p = 3.15, the predicted sales volume is …

      g = -1110(3.15) +4300.9 = 804.4

    Weekly sales are predicted to be 804 gallons at a price of $3.15.

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