The monthly cost C of running the machinery in a factory for t hours is given by $C ( t ) = 10 t + 150.$ The number of hours t needed to produce x products is given by $t ( x ) = 9 x.$ Find the equation representing the cost C of manufacturing x products.
A) $C ( x ) = 90 x + 150$
B) $C ( x ) = 90 x + 1500$
C) $C ( x ) = 19 x + 150$
D) $C ( x ) = 19 x + 160$
E) $C ( x ) = 10 x + 159$

Question

Quizplus · Accepted Answer

To find the cost $C(x)$ of manufacturing $x$ products, substitute $t(x) = 9x$ into $C(t) = 10t + 150$, resulting in $C(x) = 10(9x) + 150 = 90x + 150$.

The Monthly Cost C of Running the Machinery in a Factory