Write as a Function of x x=-40p+1600

$x = - 40 p + 1600$

Step 1

Rewrite the equation as $- 40 p + 1600 = x$ .

$- 40 p + 1600 = x$

Step 2

Subtract $1600$ from both sides of the equation.

$- 40 p = x - 1600$

Step 3

Divide each term in $- 40 p = x - 1600$ by $- 40$ and simplify.

Divide each term in $- 40 p = x - 1600$ by $- 40$ .

$\frac{- 40 p}{- 40} = \frac{x}{- 40} + \frac{- 1600}{- 40}$

Simplify the left side.

Cancel the common factor of $- 40$ .

Cancel the common factor.

$\frac{- 40 p}{- 40} = \frac{x}{- 40} + \frac{- 1600}{- 40}$

Divide $p$ by $1$ .

$p = \frac{x}{- 40} + \frac{- 1600}{- 40}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$p = - \frac{x}{40} + \frac{- 1600}{- 40}$

Divide $- 1600$ by $- 40$ .

$p = - \frac{x}{40} + 40$

Step 4

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

$f (x) = - \frac{x}{40} + 40$

Write as a Function of x x=-40p+1600

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