Question

Lashonda is riding her bike. The number of revolutions (turns) her wheels make varies directly with the distance she travels. See the graph below. 1. How many revolutions does Lashonda make per foot of distance traveled? 2. What is the slope of the graph?

Answer 1

Here we have a linear relationship, more exactly, a proportional relationship, where

y = k*x

y is the number of revolutions, x is the number of feet and k is the constant of proportionality or the slope

1) the number of revolutions per feet is easy to find, to see this you can go to to the graph and find one pair different than the (0,0)

i will choose the point (40, 4)

then we have:

4 revolutions = k*40ft

k = 4rev/40ft = 0.1 revolutions per feet.

Then the relation is:

y = (0.1 rev per feet)*x

where again, y is the number of revolutions and x is the number of feet.

2) the slope is equal to the constant of proportionality, that we already find, the slope is 0.1 rev per feet.