Answers TX-Algebra I A-CR Introduction to Systems of Linear EquationsQuestion 6

6

QuizMultiple Choice

Introduction to Systems of Linear Equations

Question 6 • TX-Algebra I A-CR

The cost in dollars to produce x cups of lemonade is represented by the function C(x)=10+0.20x. The revenue in dollars earned by selling x cups of lemonade is represented by the function R(x)=0.50x. What is the minimum number of whole cups of lemonade that must be sold for the revenue to exceed the cost?

Answer

A

33 cups

B

33.33 cups

C

33.67 cups

D

34 cups

Explanation

Revenue exceeds cost when 0.50x > 10 + 0.20x. Subtracting 0.20x gives 0.30x > 10, so x > 10 ÷ 0.30 = 33⅓. Since the number of cups must be a whole number, at least 34 cups must be sold. The correct choice is 34 cups.

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