Write as a Function of t C(t)=6t-180

$C (t) = 6 t - 180$

Step 1

Divide each term in $C t = 6 t - 180$ by $t$ and simplify.

Divide each term in $C t = 6 t - 180$ by $t$ .

$\frac{C t}{t} = \frac{6 t}{t} + \frac{- 180}{t}$

Simplify the left side.

Cancel the common factor of $t$ .

Cancel the common factor.

$\frac{C t}{t} = \frac{6 t}{t} + \frac{- 180}{t}$

Divide $C$ by $1$ .

$C = \frac{6 t}{t} + \frac{- 180}{t}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $t$ .

Cancel the common factor.

$C = \frac{6 t}{t} + \frac{- 180}{t}$

Divide $6$ by $1$ .

$C = 6 + \frac{- 180}{t}$

Move the negative in front of the fraction.

$C = 6 - \frac{180}{t}$

Step 2

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

$f (t) = 6 - \frac{180}{t}$

Write as a Function of t C(t)=6t-180

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