A bungee jumper leaps from a bridge 97 meters over a gorge. Before the 40-meter-long bungee begins to slow him down, his height is characterized by h (t)=-4.9t2+97. Two seconds after he Jumps, a car on the bridge blows out a tire. The sound of the tire blow-out moves down from the top of the bridge at the speed of sound and has a height glven by h (t) =-340t +777. How high will the bungee jumper be when he hears the sound of the blowout? If necessary, round your answer to the nearest hundredth.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Create and solve a linear quadratic system to solve the problem.
A bungee jumper leaps from a bridge 97 meters over a gorge. Before the 40-meter-long bungee begins
to slow him down his helght is characterized by h (t)=4.91+97. Two seconds after he jumps,a car on
the bridge blows out a tire. The sound of the tire blow-out moves down from the top of the bridge at the
speed of sound and has a helght glven by h (t)=-340t+777. How high will the bungee jumper be when
he hears the sound of the blowout? If necessary, round your answer to the nearest hundredth.
Give the system of equations.
h(t)=-49r2+97
The solutions appear to be about (
) and
).
The jumper hears the tire blow-out at a height of about
meters.
Transcribed Image Text:Create and solve a linear quadratic system to solve the problem. A bungee jumper leaps from a bridge 97 meters over a gorge. Before the 40-meter-long bungee begins to slow him down his helght is characterized by h (t)=4.91+97. Two seconds after he jumps,a car on the bridge blows out a tire. The sound of the tire blow-out moves down from the top of the bridge at the speed of sound and has a helght glven by h (t)=-340t+777. How high will the bungee jumper be when he hears the sound of the blowout? If necessary, round your answer to the nearest hundredth. Give the system of equations. h(t)=-49r2+97 The solutions appear to be about ( ) and ). The jumper hears the tire blow-out at a height of about meters.
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