Question

The total number of miles, d, Elise walks in n hours can be modeled by the equation d = ns. Her rate stays the same each hour.

Answer 1

Rate (as used in the question) implies the change of distance over time.

The expression for rates is: $\mathbf{s = \frac dn}$

The parameter is given as:

$\mathbf{d = ns}$

Where:

d represents distance and n represents time

The complete question requires that we get an expression for rates

This means that

We make s the subject in $\mathbf{d = ns}$

Divide both sides by n

$\mathbf{\frac dn = \frac{ns}{n}}$

Cancel out common factors

$\mathbf{\frac dn = s}$

Make s the subject

$\mathbf{s = \frac dn}$

Hence, the expression for rates is:

$\mathbf{s = \frac dn}$

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