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

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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