Write as a Function of m P(m)=m/5+8

$P (m) = \frac{m}{5} + 8$

Step 1

Divide each term in $P m = \frac{m}{5} + 8$ by $m$ and simplify.

Divide each term in $P m = \frac{m}{5} + 8$ by $m$ .

$\frac{P m}{m} = \frac{\frac{m}{5}}{m} + \frac{8}{m}$

Simplify the left side.

Cancel the common factor of $m$ .

Cancel the common factor.

$\frac{P m}{m} = \frac{\frac{m}{5}}{m} + \frac{8}{m}$

Divide $P$ by $1$ .

$P = \frac{\frac{m}{5}}{m} + \frac{8}{m}$

Simplify the right side.

Simplify each term.

Multiply the numerator by the reciprocal of the denominator.

$P = \frac{m}{5} \cdot \frac{1}{m} + \frac{8}{m}$

Cancel the common factor of $m$ .

Cancel the common factor.

$P = \frac{m}{5} \cdot \frac{1}{m} + \frac{8}{m}$

Rewrite the expression.

$P = \frac{1}{5} + \frac{8}{m}$

Step 2

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

$f (m) = \frac{1}{5} + \frac{8}{m}$

Write as a Function of m P(m)=m/5+8

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