A group of students has designed a trebuchet, which they will use to fire water balloons at their professor. The height, in feet, of a water balloon launched by the students is given by the function y(t) 16t² + 49t +4, where t is the time in seconds. (Round all answers to the nearest tenth.) a) What would be a reasonable domain for this function? b) What would be a reasonable range for this function? b) What is the maximum height the water balloon will reach? c) At approximately what time is splash-down? = seconds feet

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 15CYU
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A group of students has designed a trebuchet, which they will use to fire water balloons at their professor. The height, in
feet, of a water balloon launched by the students is given by the function y(t) 16t² + 49t +4, where t is the
time in seconds.
(Round all answers to the nearest tenth.)
a) What would be a reasonable domain for this function?
b) What would be a reasonable range for this function?
b) What is the maximum height the water balloon will reach?
c) At approximately what time is splash-down?
=
seconds
feet
Transcribed Image Text:A group of students has designed a trebuchet, which they will use to fire water balloons at their professor. The height, in feet, of a water balloon launched by the students is given by the function y(t) 16t² + 49t +4, where t is the time in seconds. (Round all answers to the nearest tenth.) a) What would be a reasonable domain for this function? b) What would be a reasonable range for this function? b) What is the maximum height the water balloon will reach? c) At approximately what time is splash-down? = seconds feet
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