Question

distance traveled (feet) number of revolutions (a) how many revolutions does dan make per foot of distance traveled? revolution(s) (b) what is the slope of the graph?

Explanation:

Step1: Find the slope

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let's take two points from the graph. When \(x = 2\) (number of revolutions), \(y=8\) (distance traveled). So the slope \(m=\frac{8 - 0}{2-0}=4\). This means for 1 revolution (\(\Delta x = 1\)), the distance traveled (\(\Delta y\)) is 4 feet.

Step2: Calculate revolutions per foot

If 1 revolution corresponds to 4 feet, then the number of revolutions per foot is \(\frac{1}{4}\).

Answer:

(a) \(\frac{1}{4}\)
(b) \(4\)