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A-34.

DeShawna and her team gathered data for their ball and recorded it in the table shown at right.

1. What is the rebound ratio for their ball?

Divide a rebound height by a drop height.

The ratio is about $0.83$.

2. Predict how high DeShawna’s ball will rebound if it is dropped from $275$ cm. Look at the precision of DeShawna’s measurements in the table. Round your calculation to a reasonable number of decimal places.

Multiply the drop height by the ratio.

3. Suppose the ball is dropped and you notice that its rebound height is $60$ cm. From what height was the ball dropped? Use an appropriate precision for your answer.

Divide the rebound height by the ratio.

1. Suppose the ball is dropped from a window $200$ meters up the Empire State Building. What would you predict the rebound height to be after the first bounce?

See part (b).

The rebound height is about $166$ m.

2. How high would the ball in part (d) rebound after the second bounce? After the third bounce?

• Continue multiplying the drop height by the ratio to find the next rebound heights.

 Drop Height Rebound Height drop height row 1$150$ cm rebound height row 1$124$ cm drop height row 2$70$ cm rebound height row 2$59$ cm drop height row 3$120$ cm rebound height row 3$100$ cm drop height row 4$100$ cm rebound height row 4$83$ cm drop height row 5$110$ cm rebound height row 5$92$ cm drop height row 6$40$ cm rebound height row 6$33$ cm