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At a local bakery, the price for a doughnut is $0.85. Each day the manager at the store buys a pie for $3.50 and some doughnuts for his employees. Which equation represents the total cost, f(2), as a function of the number of doughnuts purchased (x)?

A. f(x) = 0.852 - 3.5
B. f(3) = 0.852 +3.5
C. f(x) = 3.50 +0.85
D. f(x) = 3.52 -0.85

1 Answer

1 vote

Final answer:

The total cost, represented by f(x), of purchasing x doughnuts at $0.85 each plus a pie for $3.50 is f(x) = 3.50 + 0.85x.

The correct option is C.

Step-by-step explanation:

The equation representing the total cost as a function of the number of doughnuts purchased at a local bakery where each doughnut costs $0.85, and a pie costs $3.50, is f(x) = 3.50 + 0.85x.

Here, x represents the number of doughnuts purchased, 0.85 is the price per doughnut, and 3.50 is the fixed cost of the pie.

The total cost function, f(x), adds the fixed cost of the pie to the variable cost of the doughnuts (x times the price per doughnut).

The correct option is C.

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