Algebra Examples

$C (n) = 20 n + 15$

Step 1

Divide each term in $C n = 20 n + 15$ by $n$ and simplify.

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Step 1.1

Divide each term in $C n = 20 n + 15$ by $n$ .

$\frac{C n}{n} = \frac{20 n}{n} + \frac{15}{n}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $n$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{C n}{n} = \frac{20 n}{n} + \frac{15}{n}$

Step 1.2.1.2

Divide $C$ by $1$ .

$C = \frac{20 n}{n} + \frac{15}{n}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Cancel the common factor of $n$ .

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Step 1.3.1.1

Cancel the common factor.

$C = \frac{20 n}{n} + \frac{15}{n}$

Step 1.3.1.2

Divide $20$ by $1$ .

$C = 20 + \frac{15}{n}$

Step 2

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

$f (n) = 20 + \frac{15}{n}$