Question

A bunny hop is a bike trick in which the rider brings both tires off the ground without using a ramp. The table shows the height y (in inches) of a bunny hop on a bike that weighs xx pounds. a. Write a linear function that relates the height of a bunny hop to the weight of the bike. y= −.2x+14 Question 2 b. Graph the linear function. Weight (lb)Height (in.) Question 3 c. What is the height of a bunny hop on a bike that weighs 21.5 pounds? The height is inches.

Answer 1

A bunny hop that weighs 21.5 pounds is 9.7 inches tall.

Explanation:

The equation that models this problem is

`y=-0.2x+14`

Where
`y` is the height in inches and
`x` is weight in pounds.

The graph of this linear function is showed in the image attached. Notice that the function is decreasing, that is because weight and height are inverse, this means the more height, less weight.

Finally, for a weight of 21.5 pounds, the height is

`y=-0.2x+14\\y=-0.2(21.5)+14\\y=-4.3+14\\y=9.7`

Therefore, a bunny hop that weighs 21.5 pounds is 9.7 inches tall.

Answer 2

I assume that for this item, you already have written the equation that is asked of you to generate using the table which unfortunately you have not shown in the question. So, we'll go directly to answer lettering c.

We determine the height of a bunny hop of the bike by directly substituting the weight in pounds in the equation. That is,
y = -0.2(21.5 lbs) + 14
y = 9.7 inches
Thus, the answer for letter c is 9.7 inches.