Write as a Function of g g=-4t+100

$g = - 4 t + 100$

Step 1

Rewrite the equation as $- 4 t + 100 = g$ .

$- 4 t + 100 = g$

Step 2

Subtract $100$ from both sides of the equation.

$- 4 t = g - 100$

Step 3

Divide each term in $- 4 t = g - 100$ by $- 4$ and simplify.

Divide each term in $- 4 t = g - 100$ by $- 4$ .

$\frac{- 4 t}{- 4} = \frac{g}{- 4} + \frac{- 100}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 t}{- 4} = \frac{g}{- 4} + \frac{- 100}{- 4}$

Divide $t$ by $1$ .

$t = \frac{g}{- 4} + \frac{- 100}{- 4}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$t = - \frac{g}{4} + \frac{- 100}{- 4}$

Divide $- 100$ by $- 4$ .

$t = - \frac{g}{4} + 25$

Step 4

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

$f (g) = - \frac{g}{4} + 25$

Write as a Function of g g=-4t+100

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