h=96x-16x^(2)

a. 240ft

b. 180ft

c. 144ft

d. 6ft

h=96x-16x^(2)

a. 240ft

b. 180ft

c. 144ft

d. 6ft

Tutors, sign in to answer this question.

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)

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Susan K.

Successful and experienced teacher

$12.50 per 15 min

View Profile >

Michael D.

Do you need help in Science? Math? Regents or SAT? Ask a Geologist!

$13.75 per 15 min

View Profile >

Eric T.

Mathematics is the language of the universe

$11.25 per 15 min

View Profile >