Jerald jumped from a bungee tower. If the equation that models his height, in feet, is [tex]h = 16t^2 - 729[/tex], where [tex]t[/tex] is the time in seconds, for which interval of time is he less than 104 feet above the ground?

A. [tex]t > 6.25[/tex]
B. [tex]t < 6.25[/tex]
C. [tex]t < 6.25[/tex]
D. [tex]t > 104[/tex]

Question

02-04-2024
Mathematics

High School

We appreciate your visit to Jerald jumped from a bungee tower If the equation that models his height in feet is tex h 16t 2 729 tex where tex t. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Jerald jumped from a bungee tower. If the equation that models his height, in feet, is [tex]h = 16t^2 - 729[/tex], where [tex]t[/tex] is the time in seconds, for which interval of time is he less than 104 feet above the ground?

A. [tex]t > 6.25[/tex]
B. [tex]t < 6.25[/tex]
C. [tex]t < 6.25[/tex]
D. [tex]t > 104[/tex]

Answer :

Other Questions

After how many hours of constant use must a food-contact surface be

Question 14: The melting point of a pure compound is known to

Which number(s) below belong to the solution set of the inequality? Check

In a mathematics test for Class VIII, only 23 out of 25

\[2NO(g) + O_2(g) \rightarrow 2NO_2(g)\] If 98.3 L of \(NO_2\) forms, measured

A 143 kg astronaut is floating in space. She throws a 0.725

Rewrite the sentences in the past using "was, " "were, " "wasn't,

A food establishment has a history of cockroach infestations. What sign of

[tex] \begin{aligned} 1 \frac{1}{8} + 1 \frac{4}{5} &= 1 \frac{5}{40} + 1

The fuel lines used in Common Rail Diesel (CRD) systems are designed

TaylorSmith48 TaylorSmith48 · Answer 1 · 2023-12-18T13:32:30-05:00

Final answer:

To determine when Jerald is less than 104 feet above the ground, we solve the inequality 104 > 16t² - 729. Upon solving, we find that the correct interval is t < 6.25, making option C the correct answer.

Explanation:

The student's question asks for the interval of time during which Jerald's height while bungee jumping is less than 104 feet above the ground, given the equation h = 16t² - 729, where h is the height in feet and t is the time in seconds. To find when Jerald is less than 104 feet above the ground, we set the equation less than 104 and solve for t:

104 > 16t² - 729

Add 729 to both sides:

833 > 16t²

Divide both sides by 16:

52.0625 > t²

Take the square root of both sides (considering only positive time):

t < √52.0625

t < 7.22 (approx.)

However, since the problem is asking for when he is specifically less than 104 feet, we should look at the interval just before Jerald reaches the 104 feet mark. By solving the equality 16t² - 729 = 104, we find that t = 6.25, and since we want to be below 104 feet, we take the interval of time to be t < 6.25. Hence, the correct answer is C. t < 6.25.