Write as a Function of p x=(9.6-p)/0.014

$x = \frac{9.6 - p}{0.014}$

Step 1

Simplify $\frac{9.6 - p}{0.014}$ .

Factor $0.2$ out of $9.6 - p$ .

Factor $0.2$ out of $9.6$ .

$x = \frac{0.2 (48) - p}{0.014}$

Factor $0.2$ out of $- p$ .

$x = \frac{0.2 (48) + 0.2 (- 5 p)}{0.014}$

Factor $0.2$ out of $0.2 (48) + 0.2 (- 5 p)$ .

$x = \frac{0.2 (48 - 5 p)}{0.014}$

Factor $0.014$ out of $0.014$ .

$x = \frac{0.2 (48 - 5 p)}{0.014 (1)}$

Separate fractions.

$x = \frac{0.2}{0.014} \cdot \frac{48 - 5 p}{1}$

Simplify the expression.

Divide $0.2$ by $0.014$ .

$x = 14.\overline{285714} \frac{48 - 5 p}{1}$

Divide $48 - 5 p$ by $1$ .

$x = 14.\overline{285714} (48 - 5 p)$

Apply the distributive property.

$x = 14.\overline{285714} \cdot 48 + 14.\overline{285714} (- 5 p)$

Simplify the expression.

Multiply $14.\overline{285714}$ by $48$ .

$x = 685.\overline{714285} + 14.\overline{285714} (- 5 p)$

Multiply $- 5$ by $14.\overline{285714}$ .

$x = 685.\overline{714285} - 71.\overline{428571} p$

Reorder $685.\overline{714285}$ and $- 71.\overline{428571} p$ .

$x = - 71.\overline{428571} p + 685.\overline{714285}$

Step 2

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

$f (p) = - 71.\overline{428571} p + 685.\overline{714285}$

Write as a Function of p x=(9.6-p)/0.014

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