Yolanda 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 yolanda travel per revolution

what is the slope of the graph

Step-by-step explanation:

The straight line graph is that of the number of revolutions on the vertical axis against distance travelled in feet on the horizontal axis.

Slope = change in the value of y on the vertical axis/ change in the value of x on the horizontal axis

Slope = (y2 - y1)/(x2 - x1)

Slope = (6 - 2)/(24 - 8) = 4/16 = 1/4 revolution per feet.

It means that in 1 feet, Yolanda makes 1/4 revolutions. Therefore, The distance that Yolanda travels per revolution would be

1/(1/4) = 1/0.25 = 4 feet

0.02040816326

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).