As part of a science experiment, Natasha drops a bouncy ball from various heights, h, and observes the height to which the ball rebounds, r. The table shows the results of Natasha's experiment.

Initial height, h (in meters) Rebound height, r (in meters)
0.30 0.27
0.50 0.45
0.80 0.72
1.00 0.9
1.20 1.08
Which equation represents the proportional relationship between the initial height and the rebound height of the bouncy ball?

A. r=0.9h+0.1

B. r=0.9h

C. r=0.1h

D. r=0.9h-0.1

just divide y/x to get the proportional height.

.27/.3 = .9
.45/.50 = .9
so, what do you think?

To determine the equation that represents the proportional relationship between the initial height (h) and the rebound height (r) of the bouncy ball, we need to analyze the given data and identify any patterns or relationships.

By examining the data, we can observe that the rebound height is always equal to approximately 90% (0.9) of the initial height. This indicates a proportional relationship between the two variables.

Since the rebound height is directly proportional to the initial height, we can express this relationship using an equation in the form:

r = k * h

where k represents the constant of proportionality.

Looking at the answer choices, we can see that the equation that matches this relationship is option B:

r = 0.9h

Therefore, the correct equation that represents the proportional relationship between the initial height and the rebound height of the bouncy ball is:

B. r = 0.9h

.27/.3=9

JO MAMA