Question

The average cost c (in dollars) to manufacture x T-shirts is given by the function c=5x+410x. Express the number of T-shirts in terms of the average cost.

Answer 1

Answer:

$x=\frac{c}{415}$

Step-by-step explanation:

We have been given that the average cost c (in dollars) to manufacture x T-shirts is given by the function $c=5x+410x$. We are asked to express Express the number of T-shirts in terms of the average cost.

We need to solve for x is terms of C.

First of all, we will combine like terms as shown below:

$c=415x$

Now, to solve for x, w will divide both sides by 415 as:

$\frac{c}{415}=\frac{415x}{415}$

$\frac{c}{415}=x$

$x=\frac{c}{415}$

Therefore, the equation $x=\frac{c}{415}$ represents the number of T-shirts in terms of the average cost.

Answer 2

Answer:

x = $\frac{C}{415}$ will be the expression.

Step-by-step explanation:

In this question an expression has been given which represents the relation between average cost C and number of T shirts (x) manufactured.

We have to solve this expression for the value of x (number of T-shirts) in terms of C.

C = 5x + 410x

C = 415x

x = $\frac{C}{415}$

Therefore, x = $\frac{C}{415}$ will be expression showing the number of T-shirts in terms of average cost.