Question

Kaitlin is riding her bike. The number of revolutions (turns) her wheels make varies directly with the distance she travels. See the graph below.



How far does Kaitlin travel per revolution?

What is the slope of the graph?

Answer 1

Answer:

m = Δy/Δx = 4/32 = 1/8

8 ft/rev.

Step-by-step explanation:

Answer 2

Answer:

$\frac{1}{8}$ for both

Step-by-step explanation:

1. Distance per revolution

We see that the distance travelled at 2 revolutions is 16

This means that she travels $\frac{1}{8}$ of a mile per revolution

2. Slope

The slope formula is rise/run, or ($y$₂$-y$₁)/($x$₂$-x$₁)

We can take two points, (16,2) and (32,4)

$\frac{4-2}{32-16}=\frac{2}{16}=\frac{1}{8}$

The slope is $\frac{1}{8}$

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