h=96x-16x^(2)

a. 240ft

b. 180ft

c. 144ft

d. 6ft

h=96x-16x^(2)

a. 240ft

b. 180ft

c. 144ft

d. 6ft

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Kathye P. | Math Geek, passionate about teachingMath Geek, passionate about teaching

Hi, Maira.

The general equation h = 96x - 16x^{2} tells us the height at x seconds. We need to have a specific number of seconds to find the exact height.

For 1 second, plug 1 in for x:

h = 96(1) - 16(1)^{2} so h = 80 ft

For 2 seconds, h = 96(2) - 16(4) = 128 ft

3 seconds, h = 96(3) - 16(9) = 144 ft

4 seconds, h = 96(4) - 16(16) = 128 ft

5 seconds, h = 96(5) - 16(25) = 80 ft

6 seconds, h = 96(6) - 16(36) = 0 , which means it has fallen back to the ground.

Hope the information here helps!

Maximum height occurs when x = (- b) / (2a)

In our case, a = - 16, b = 96

x = - 96 / [2 • (- 16)] = 3 seconds

h(3) = 96 • 3 – 16 • 3^{2} = *144 feet*

The answer is (c)

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