An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 55°, its height, f(x), in feet, can be modeled by f(x) = - 0.02x + 1.4x + 5.3, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the graph.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 44E
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7 3.1

An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 55°, its height, f(x), in feet, can be modeled by
芸50-
40-
30-
20-
10-
f(x) = - 0.02x + 1.4x+ 5.3, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the graph.
0-
20
100
40 60
Shot Put's Horizontal Distance
80
a. What is the maximum height of the shot and how far from
point of release does this occur?
The maximum height is 29.8 , which occurs 35 feet from the point of release.
(Type an integer or decimal rounded to four decimal places as needed.)
b. What is the shot's maximum horizontal distance, to the nearest tenth of a foot, or the distance of the throw?
feet
(Type an integer or decimal rounded to the nearest tenth as needed.)
Transcribed Image Text:An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 55°, its height, f(x), in feet, can be modeled by 芸50- 40- 30- 20- 10- f(x) = - 0.02x + 1.4x+ 5.3, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the graph. 0- 20 100 40 60 Shot Put's Horizontal Distance 80 a. What is the maximum height of the shot and how far from point of release does this occur? The maximum height is 29.8 , which occurs 35 feet from the point of release. (Type an integer or decimal rounded to four decimal places as needed.) b. What is the shot's maximum horizontal distance, to the nearest tenth of a foot, or the distance of the throw? feet (Type an integer or decimal rounded to the nearest tenth as needed.)
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