5
QuizMultiple Choice

Introduction to Systems of Linear Equations — Quiz

Question 5 • Algebra 2 with Probability

The cost in dollars to produce x cups of lemonade is represented by the function cap C of x is equal to 10 plus 0 point 20 x The revenue in dollars earned by selling x cups of lemonade is represented by the function R of x is equal to 0 point 50 x What is the minimum number of whole cups of lemonade that must be sold for the revenue to exceed the cost?

Answer
A
34 cups
B
33 cups
C
33 point 6 7 cups
D
33 point 33 cups

Explanation

Revenue must be greater than cost, so solve 0.50x > 10 + 0.20x. Subtracting 0.20x gives 0.30x > 10, or x > 33.33. Since only whole cups can be sold, the minimum is 34 cups, choice A.

AI-written and checked against the verified answer.

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