Question

You chose an EXPONENTIAL model with the equation:

y=4.04·0.56x

In the context of the tennis balls:

(1) What does 4.04 mean?

(2) What does 0.56 mean?

Answer 1

General equation

• y=ab^x

#1

Here

• a is 4.04
• So it represents the initial value where x is 0 as any number⁰ is 1

#2

• 0.56 is b
• it's the rate of change with respect to x

Answer 2

Equation: y = 4.04·0.56^x

(1) What does 4.04 mean?

Solution: Here in the exponential model, the height is 4.04 feet when the bounce number is 0. It represents the initial height. (original, starting value)

(2) What does 0.56 mean?

Solution: 0.56 represents the represents the growth rate of how much the height will decrease with the amount of bounces. (growth factor)

Extra's :

x represents the unit of measure of bounces.