Create and solve a linear quadratic system to solve the problem. An elevator In a hotel moves at 20 feet per second. Leaving from the ground floor, its height in feet aftert seconds is glven by the formula h (t) = 20t. A bolt comes loose in the elevator shaft above, and Its helight In feet after falling fort seconds is given by h (t) =-16t2+200. At what time and at what height does the bolt hit the elevator? Give the system of equations. h(t) =-16t2 + 200

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter3: Linear And Nonlinear Functions
Section3.4: Slope-intercept Form
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Create and solve a linear quadratic system to solve the problem.
An elevator In a hotel moves at 20 feet per second. Leaving from the ground floor, Its helght In feet after t
seconds Is glven by the formula h(t)-20t.A bolt comes loose In the elevator shaft above, and Its helght
In feet after falling for t seconds Is glven by h (t)=-16+200. At what time and at what helght does the
bolt hit the elevator?
Give the system of equations.
h(t)=-16t+200
h(t)=
The solutions appear to be about
Dand (
).
The bolt hits the elevator
seconds later, at a height of
feet.
Transcribed Image Text:Create and solve a linear quadratic system to solve the problem. An elevator In a hotel moves at 20 feet per second. Leaving from the ground floor, Its helght In feet after t seconds Is glven by the formula h(t)-20t.A bolt comes loose In the elevator shaft above, and Its helght In feet after falling for t seconds Is glven by h (t)=-16+200. At what time and at what helght does the bolt hit the elevator? Give the system of equations. h(t)=-16t+200 h(t)= The solutions appear to be about Dand ( ). The bolt hits the elevator seconds later, at a height of feet.
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