Question

What was her speed?

Answer 1

A) 0.1 mile per minute

Explanation:

From physics we know that distance, time and speed are related by the following equation:

$s=\frac{d}{t} \\ \\ s:Speed \\ \\ d:distance \\ \\ t:time$

So we can write the distance as:

$d=st$

Here we have a line that passes through the origin and whose independent variable is t and dependent variable is d and the slope is s. From the graph, we can calculate the equation of the line as:

$y=mx \\ \\ Finding \ slope \ m: \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ (x_{1},y_{1})=(0,0) \\ \\ (x_{2},y_{2})=(10,1) \\ \\ m=\frac{1-0}{10-0} \\ \\ m=\frac{1}{10}$

So:

$y=\frac{1}{10}x \\ \\ y=0.1x$

As you can see from the graph:

• y is related to distance (d)
• x is related to time (t)

Therefore, we can rewrite our equation as:

$d=0.1t$

Finally, the speed (s) is:

$s=0.1mile \ per \ minute$

Learn more:

Speed: brainly.com/question/12506472

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