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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 c7, 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(c7)
The cost of first 7 ounces is 7×0.25=1.75
The total number of ounces is c
So the cost of remaining c7 ounces is 0.15(c7)
Therefore the total cost is p(c)=1.75+0.15(c7)
So the correct option is D

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