Isabel is launching a model rocket with some measurement sensors attäch the data was saved. From this data, Isabel created the equation to model the rocket's height as a function of the time since the rocket engine stopped firing until the rocket crashed. The equation is h(t) --5t + 60t + 45. The graph of this equation is shown below. (6. 225) Part A: For what interval is the function decreasing? The function is decreasing on the interval ( ). (Answer as two numbers separated by a comma; round to the nearest tenth; the parentheses represent square brackets, but I couldn't use those due to formatting issues.) Part B: What is the average rate of change on the interval (1. 6)? The rate of change on the interval (1, 6] is meters per second. Part C: How long from when the rocket engine stopped firing did it take for the rocket to crash? It took the rocket seconds after the engines stopped firing to crash into the ground. (Round to the nearest tenth or 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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Question 8
nve
Performance
Isabel is launching a model rocket with some measurement sensors attached. Unfortunately, the parachute didn't deploy correctly and only some of
the data was saved. From this data, Isabel created the equation to model the rocket's height as a function of the time since the rocket engine stopped
firing until the rocket crashed. The equation is h(t) =-5t2 + 60t + 45. The graph of this equation is shown below.
(6, 225)
(1, 100)
Part A: For what interval is the function decreasing?
The function is decreasing on the interval (
). (Answer as two numbers separated by a comma; round to the nearest tenth; the
parentheses represent square brackets, but I couldn't use those due to formatting issues.)
Part B: What is the average rate of change on the interval (1, 6]?
The rate of change on the interval [1, 6] is
meters per second.
Part C: How long from when the rocket engine stopped firing did it take for the rocket to crash?
It took the rocket
seconds after the engines stopped firing to crash into the ground. (Round to the nearest tenth or hundredth.)
Part D: At what altitude did the rocket engine stop firing?
The rocket engine stopped firing at an altitude of
meters.
Transcribed Image Text:nve Performance Isabel is launching a model rocket with some measurement sensors attached. Unfortunately, the parachute didn't deploy correctly and only some of the data was saved. From this data, Isabel created the equation to model the rocket's height as a function of the time since the rocket engine stopped firing until the rocket crashed. The equation is h(t) =-5t2 + 60t + 45. The graph of this equation is shown below. (6, 225) (1, 100) Part A: For what interval is the function decreasing? The function is decreasing on the interval ( ). (Answer as two numbers separated by a comma; round to the nearest tenth; the parentheses represent square brackets, but I couldn't use those due to formatting issues.) Part B: What is the average rate of change on the interval (1, 6]? The rate of change on the interval [1, 6] is meters per second. Part C: How long from when the rocket engine stopped firing did it take for the rocket to crash? It took the rocket seconds after the engines stopped firing to crash into the ground. (Round to the nearest tenth or hundredth.) Part D: At what altitude did the rocket engine stop firing? The rocket engine stopped firing at an altitude of meters.
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