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At a supermarket the price of a carton of blueberries varies directly with its weight. A carton that weighs 0.5 lb cost $4.25. What is the price in dollars of a carton of blueberries that weighs 0.75 lb?

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tarasirigiri
It is $6.375.
0.5lb:$4.25
0.75lb:$6.375
This is because 0.75lb is 1.5 times greater than 0.5, so you do 4.25*1.5, which is $6.375

Given that the price of a carton of blueberries varies directly with its weight.

That is,

[tex] p=kw,k>0 [/tex], where [tex] p [/tex] is the price , [tex] w [/tex] weight of the carton and [tex] k [/tex] a proportionality constant.

Consider 2 prices and weights,

[tex] \frac{p_1}{p_2} =\frac{w_1}{w_2} \\
p_1 =\frac{w_1}{w_2} p_2\\
p_1 =\frac{0.75}{0.5} *4.25\\
p_1=6.375 [/tex]

The price in dollars of a carton of blueberries that weighs 0.75 lb is [tex] \$6.375 [/tex].


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