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

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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?

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Answer 1 · 2018-03-20T18:35:29

$k = 4$ $k=4$

Explanation:

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

$the initial statement is C \propto t$ $"the initial statement is "Cpropt$

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

$\Rightarrow C = k t$ $rArrC=kt$

$to find k use the given condition$ $"to find k use the given condition"$

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

$C = k t \Rightarrow k = \frac{C}{t} = \frac{8}{2} = 4$ $C=ktrArrk=C/t=8/2=4$

$\Rightarrow constant of proportionality = 4$ $rArr"constant of proportionality "=4$

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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

Explanation:

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