The function f of x is equal to the fraction with numerator 30 plus 0 point 2 5 x and denominator x yields the average cost in dollars per cup of lemonade made by Lincoln at his lemonade stand when he makes x cups of lemonade. Which statement best fits the situation modeled by the function?
Answer
A
Lincoln gave away 30 cups of lemonade for free.
B
Lincoln sells lemonade for 25 cents a cup.
C
Lincoln uses 25 cents worth of supplies per cup.
D
Lincoln uses 30 cents worth of supplies per cup.
Explanation
Rewrite the average-cost function as f(x) = 30/x + 0.25. The 0.25 is the cost added for each cup made, so Lincoln uses 25 cents’ worth of supplies per cup. The 30/x term represents a fixed $30 cost spread across the cups, not 30 cups given away.
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