Question

The average cost c (in dollars) to manufacture x t-shirts is given by the function c=7x+325x. Express the number of t-shirts in terms of the average cost. X=

Answer 1

Answer:

$x=\dfrac{325}{c-7}$

Step-by-step explanation:

The average cost c (in dollars) to manufacture x t-shirts is given by the function:

$c=\dfrac{7x+325}{x}$

We are required to express the number of t-shirts in terms of the average cost.

First, we cross multiply

cx=7x+325

Bring the terms containing x to the left hand side

cx-7x=325

Factorize out x

x(c-7)=325

Divide both sides by c-7

$x=\dfrac{325}{c-7}$

Therefore, the number of t-shirts, x in terms of the average cost, c is:

$x=\dfrac{325}{c-7}$