Write as a Function of C C(n)=10n+20

$C (n) = 10 n + 20$

Step 1

Subtract $10 n$ from both sides of the equation.

$C n - 10 n = 20$

Step 2

Factor $n$ out of $C n - 10 n$ .

Factor $n$ out of $C n$ .

$n C - 10 n = 20$

Factor $n$ out of $- 10 n$ .

$n C + n \cdot - 10 = 20$

Factor $n$ out of $n C + n \cdot - 10$ .

$n (C - 10) = 20$

Step 3

Divide each term in $n (C - 10) = 20$ by $C - 10$ and simplify.

Divide each term in $n (C - 10) = 20$ by $C - 10$ .

$\frac{n (C - 10)}{C - 10} = \frac{20}{C - 10}$

Simplify the left side.

Cancel the common factor of $C - 10$ .

Cancel the common factor.

$\frac{n (C - 10)}{C - 10} = \frac{20}{C - 10}$

Divide $n$ by $1$ .

$n = \frac{20}{C - 10}$

Step 4

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

$f (C) = \frac{20}{C - 10}$

Write as a Function of C C(n)=10n+20

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