Write as a Function of d d=-0.5t+7

$d = - 0.5 t + 7$

Step 1

Rewrite the equation as $- 0.5 t + 7 = d$ .

$- 0.5 t + 7 = d$

Step 2

Subtract $7$ from both sides of the equation.

$- 0.5 t = d - 7$

Step 3

Divide each term in $- 0.5 t = d - 7$ by $- 0.5$ and simplify.

Divide each term in $- 0.5 t = d - 7$ by $- 0.5$ .

$\frac{- 0.5 t}{- 0.5} = \frac{d}{- 0.5} + \frac{- 7}{- 0.5}$

Simplify the left side.

Cancel the common factor of $- 0.5$ .

Cancel the common factor.

$\frac{- 0.5 t}{- 0.5} = \frac{d}{- 0.5} + \frac{- 7}{- 0.5}$

Divide $t$ by $1$ .

$t = \frac{d}{- 0.5} + \frac{- 7}{- 0.5}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$t = - \frac{d}{0.5} + \frac{- 7}{- 0.5}$

Multiply by $1$ .

$t = - \frac{1 d}{0.5} + \frac{- 7}{- 0.5}$

Factor $0.5$ out of $0.5$ .

$t = - \frac{1 d}{0.5 (1)} + \frac{- 7}{- 0.5}$

Separate fractions.

$t = - (\frac{1}{0.5} \cdot \frac{d}{1}) + \frac{- 7}{- 0.5}$

Divide $1$ by $0.5$ .

$t = - (2 \frac{d}{1}) + \frac{- 7}{- 0.5}$

Divide $d$ by $1$ .

$t = - (2 d) + \frac{- 7}{- 0.5}$

Multiply $2$ by $- 1$ .

$t = - 2 d + \frac{- 7}{- 0.5}$

Divide $- 7$ by $- 0.5$ .

$t = - 2 d + 14$

Step 4

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

$f (d) = - 2 d + 14$

Write as a Function of d d=-0.5t+7

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