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sp2606 [1]
3 years ago
15

The total cost of an item including sales tax is directly proportional to its price. If the total cost of a $32 item is $33.60 ,

what is the total cost on a $55 item
Mathematics
1 answer:
pav-90 [236]3 years ago
3 0
Let the total cost of the item be represented by C and the price be represented by P, then given that t<span>he total cost of an item including sales tax is directly proportional to its price, thus</span>

C\propto P \\  \\ \Rightarrow C=kP

where k is a constant.

Given that <span>the total cost of a $32 item is $33.60, thus

33.60=32k \\  \\ \Rightarrow k= \frac{33.60}{32} =1.05

Therefore, the total cost on a $55 item is given by

C=1.05\times55=\$57.75</span>
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