Question

The formulamodel the distance traveled by an object moving at the constant rate r in time t. Find the formulas for the following quantities.

r= ________

t= ________

Short answer

Formulas for the following quantities:

$\begin{array}{l}r=\frac{d}{t}\\ t=\frac{d}{r}\end{array}$

Step-by-step solution

Step 1. Concept used.

The formula involves multiplication of two variable, r and t.

To solve for one of these variables, undo the operation.

– Find the formulas for r

We have,

$d=rt$

Switch sides:

$rt=d$

Divide both sides by t:

$\begin{array}{l}\frac{rt}{t}=\frac{d}{t}\\ r=\frac{d}{t}\end{array}$

Step 3. Find the formulas for t.

We have,

$d=rt$

Switch sides:

$rt=d$

Divide both sides by r:

$\begin{array}{l}\frac{rt}{r}=\frac{d}{r}\\ t=\frac{d}{r}\end{array}$