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Cost varies directly as time and the cost is $8 when the time is 2 hours, what is the constant of proportionality?

1 Answer

Mar 20, 2018

$k=4$

Explanation:

$"let C be cost and t be time then"$

$"the initial statement is "Cpropt$

$"to convert to an equation multiply by k the constant"$
$"of variation"$

$rArrC=kt$

$"to find k use the given condition"$

$"cost "=8" when "t=2$

$C=ktrArrk=C/t=8/2=4$

$rArr"constant of proportionality "=4$

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