Question

Select the correct answer.

Some high school students conducted an experiment as part of their school project to understand the relationship between the height a parasail can attain and the speed of the motorboat that tows it. The data table lists their observation about the height of the parasail at different speeds. Which
equation represents the height of the parasail (y) based on the speed of the motorboat (x)?

A. y= 2.5x
B. y= 0.4x
C. y= 2.5x - 26.25.
D. y= 0.4x + 4.2
E. y= 0.4x - 4.2

Answer 1

m = (10 - 5)/(14.5 - 12.5) = 5/2 = 2.5

10 = 2.5(14.5) + b

b = -26.25

y = 2.5x - 26.25

The correct answer is C.

Answer 2

The equation that represents the relationship between the height of the parasail and the speed of the motorboat is y = 0.4x + 4.2.

Step-by-step explanation:

The equation that represents the height of the parasail (y) based on the speed of the motorboat (x) is: y = 0.4x + 4.2.

To determine the correct equation, we need to match the given data observations with the equation options. Looking at the options, we can see that option D, y = 0.4x + 4.2, is the only one that matches the observed data.

This equation states that the height of the parasail (y) is equal to 0.4 times the speed of the motorboat (x), plus 4.2.