Question

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

A-53/1; your car travels 53 miles every 1 hour

B-1/53; your car travels 53 miles every 1 hour

C-10; your car travels for 10 hours.

D-212; your car travels 212 miles.

Answer 1

bearing in mind that the average rate of change is the slope, then we can pick any two points from the table to get the slope,


`\bf \begin{array}{ccll} \stackrel{time}{hours}&\stackrel{distance}{miles}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 4&212\\ \boxed{6}&\boxed{318}\\ 8&424\\ \boxed{10}&\boxed{530} \end{array}\qquad \qquad \qquad (\stackrel{x_1}{6}~,~\stackrel{y_1}{318})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{530})`


`\bf slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{530-318}{10-6}\implies \cfrac{212}{4}\implies \cfrac{\stackrel{miles}{53}}{\stackrel{hours}{1}}`

Answer 2

The answer is I’m pretty sure B