Question

In: Math

The amount paid, after tax, for several identical items on sale, varies jointly with the number...

The amount paid, after tax, for several identical items on sale, varies jointly with the number of items and the price of one item before tax.

Kelly bought 20 pairs of socks and paid $40, after tax. The socks cost $1.60 per pair, before tax. What is the constant of variation?

Options:

1.25

3.20

0.8

8.0

Solutions

Expert Solution

The statement "y varies directly as x," means that when x increases, y increases by the same factor. In other words, y and x always have the same ratio

in above problem the cost of each pair after tax pay is 40/20=$2

initial cost of each pair

i.e before tax pay cost of each pair is 1.6 and total cost of 20 pairs is $32

so the constant of variation is

the constant of variation for total pay

so finally the increase in each cost pair factor is same as increase in total 20 pairs of cost.

milcah answered 2 years ago
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