Question

Rehan’s yacht holds 70 passengers. Each hour he stops at the marina to let some passengers off and on. The scatter plot shows how many passengers are on board during each hour of boating. Use the given line of best fit to approximate the rate of change (slope) relative to the scatter plot.

Answer 1

The rate of change (slope) relative to the scatter plot is that the Rehan's yacht passengers count increases by 5 per hour.

The slope

The slope 'm' is calculated by the formula $m=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$ where $({x_{1},y_{1}}),({x_{2},y_{2}} )$ are the points through which the line passes.

How to find the rate of change (slope)?

From the graph, take two points (1,30) and (5,50) through which the line passes.

Now substitute $({x_{1},y_{1})=(1,30)$ and $({x_{2},y_{2})=(5,50)$ in the slope formula, we will get

$m=\dfrac{50-30}{5-1} \\m=\dfrac{20}{4}\\m=5$

So, the slope is positive 5.

This means that the rate of change of passengers is increasing by 5 per hour.

Learn more about the slope here-https://brainly.com/question/2491620

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