Function h describes the height of a ball, in inches, after n bounces and is defined by the equation h(n)=120×(4/5)^n. a. What is h(3)? What does it represent in this situation?

b. Could h(n) be 150? Explain how you know?

c. Which ball loses its height more quickly, this ball or a tennis ball whose height in inches after n bounces is modeled by the function f where f(n)=50×(5/9)^n?

d. How many bounces would it take before the ball bounces less than 12 inches from the surface?