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Question

A vegetable vendor cabbages, priced according to how much each cabbage weighs. The first seven ounces cost $$25$$ cents each, and each additional ounce costs $$15$$ cents. If $$p(c)$$ is the price in dollars of a cabbage weighing c ounces, with $$c \geq 7$$, then which of the following is $$p(c)$$?


A
p(c)=175+15c
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B
p(c)=.25+.15c
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C
p(c)=.25+.15(c7)
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D
p(c)=1.75+.15(c7)
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E
p(c)=1.75+.15c
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Solution

The correct option is C $$p(c) = 1.75 + .15(c - 7)$$
The cost of first $$7$$ ounces is $$7 \times 0.25=1.75$$
The total number of ounces is $$c$$
So the cost of remaining $$c-7$$ ounces is $$0.15(c-7)$$
Therefore the total cost is $$p(c)=1.75+0.15(c-7)$$
So the correct option is $$D$$

Mathematics

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