Write as a Function of h h(t)=4t+20

$h (t) = 4 t + 20$

Step 1

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

$h t - 4 t = 20$

Step 2

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

Factor $t$ out of $h t$ .

$t h - 4 t = 20$

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

$t h + t \cdot - 4 = 20$

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

$t (h - 4) = 20$

Step 3

Divide each term in $t (h - 4) = 20$ by $h - 4$ and simplify.

Divide each term in $t (h - 4) = 20$ by $h - 4$ .

$\frac{t (h - 4)}{h - 4} = \frac{20}{h - 4}$

Simplify the left side.

Cancel the common factor of $h - 4$ .

Cancel the common factor.

$\frac{t (h - 4)}{h - 4} = \frac{20}{h - 4}$

Divide $t$ by $1$ .

$t = \frac{20}{h - 4}$

Step 4

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

$f (h) = \frac{20}{h - 4}$

Write as a Function of h h(t)=4t+20

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