Write as a Function of c c(t)=4t-160

$c (t) = 4 t - 160$

Step 1

Subtract $4 t$ from both sides of the equation.

$c t - 4 t = - 160$

Step 2

Factor $t$ out of $c t - 4 t$ .

Factor $t$ out of $c t$ .

$t c - 4 t = - 160$

Factor $t$ out of $- 4 t$ .

$t c + t \cdot - 4 = - 160$

Factor $t$ out of $t c + t \cdot - 4$ .

$t (c - 4) = - 160$

Step 3

Divide each term in $t (c - 4) = - 160$ by $c - 4$ and simplify.

Divide each term in $t (c - 4) = - 160$ by $c - 4$ .

$\frac{t (c - 4)}{c - 4} = \frac{- 160}{c - 4}$

Simplify the left side.

Cancel the common factor of $c - 4$ .

Cancel the common factor.

$\frac{t (c - 4)}{c - 4} = \frac{- 160}{c - 4}$

Divide $t$ by $1$ .

$t = \frac{- 160}{c - 4}$

Simplify the right side.

Move the negative in front of the fraction.

$t = - \frac{160}{c - 4}$

Step 4

To rewrite as a function of $c$ , write the equation so that $t$ is by itself on one side of the equal sign and an expression involving only $c$ is on the other side.

$f (c) = - \frac{160}{c - 4}$

Write as a Function of c c(t)=4t-160

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