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?

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

there would only be 50 odd numbers between 1 and 100 so therefor there would be 50 even so that would only be 50 odd numbers.