The height of the 10th bounce of the ball is 0.6 feet.
Exponential function
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the height of the ball on the xth bounce.
From the question, a = 5.25 ft. and b = 80% = 0.8, hence:
y = 5.25(0.8)ˣ
For the 10th bounce:
y = 5.25(0.8)¹⁰ = 0.6 feet
The height of the 10th bounce of the ball is 0.6 feet.
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