1.7b) Polynomial Modeling homework (video)
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5 At a supermarket, a 2-liter bottle of Pepsi costs $1.49 and in a week the store sells 2,000 bottles. For every 5
cents that the market reduces
the price, it will sell 150 more bottles in a week.
a. Complete the table: (3)
# 5-cent increases
Price
Bottles sold
Revenue
1
4
X
1 pt for revenue
for each column
b. The cost to the supermarket per bottle is 25 cents. If x is the number of 5-cent increases, write an
expression stating the cost to the market for Pepsi that week. (1)
c. Write an expression representing the profit for the supermarket in selling Pepsi that week. (1)
d. If the number of 5-cent increases is rounded to an integer, determine the price (nearest dollar) and the
corresponding number of bottles that the market should sell to maximize profit. What is that profit? (3)