Charmaine is riding her bike. the distance she travels varies directly with the number of revolutions (turns) her wheels make. see the graph below.
a.) how many revolutions does charmaine make per foot of distance traveld?
__revolution(s)
b.)what is the slope of the graph?

(a) 1/5 revolution

(b) 5 (rise 5, run 1)

step-by-step explanation:

find and map each point. note the (x , y) points on the line.

for example:

(x , y) = (2, 10)

(x , y) = (4, 20)

(x , y) = (6 , 30)

note that there is a consistency in between the points. it looks like:

5x = y

(a) this would answer the first blank:

for every revolution (x) charmaine make, (y) amount of feet is traveled.

note that you are solving for 1 foot of traveling. plug in 1 for y in the equation:

(5x)/5 = (1)/5

x = 1/5

for 1 foot of traveling, charmaine makes 1/5 of a revolution.

(b) what is the slope of the graph?

to solve for the slope, find two points that are located on the line. for example:

(x₁ , y₁) = (2 , 10)

(x₂ , y₂) = (4 , 20)

to solve for slope, use the following equation:

insert the following numbers to the following variables:

"" =

(a) for every revolution made, 5 feet is traveled. or, to put it in terms, for every feet traveled, 1/5 of a revolution is made.

(b) the slope of the graph is 5/1 (rise 5, run 1).

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