a. Answer Parabola represents better the data. Explanation Given information: The table shows the heights h (in feet) of a sponge t seconds after it was dropped by a window cleaner on top of a skyscraper. Calculation: From the given table data graph is given below. S0,from the graph parabola represents better the data. b. To determine Use the regression feature of your calculator to ?nd the model that best ?ts the data. Answer We use the regression feature of the calculator to determine the model that better fits the data. Explanation Given information: The table shows the heights h (in feet) of a sponge t seconds after it was dropped by a window cleaner on top of a skyscraper. Calculation From the given table data graph is given below S0, We use the regression feature of the calculator to determine the model that better fits the data. . c. To determine Use the model in part (b) to predict when the sponge will hit the ground. Answer The sponge hit the ground when y = 0 . Explanation Given information: The table shows the heights h (in feet) of a sponge t seconds after it was dropped by a window cleaner on top of a skyscraper. Calculation: From the given table data graph is given below. y = − 16 x 2 + 3.7272 + 10 − 15 x + 280 . y ≈ − 16 x 2 + 280 . The sponge hit the ground when y = 0 .Solve the equation. 16 x 2 + 280 = 0 . 16 x 2 = 280 . x 2 = 280 / 16 = 17.5. x = ± 17.5 ≈ 4.18 . d. To determine Identify and interpret the domain and range in this situation. Answer Domain of the function [ 0 , 4.18 ] . Range of the function is [ 0 , 280 ] . Explanation Given information: The table shows the heights h (in feet) of a sponge t seconds after it was dropped by a window cleaner on top of a skyscraper. Calculation: From the given table data graph is given below. y = − 16 x 2 + 3.7272 + 10 − 15 x + 280 . y ≈ − 16 x 2 + 280 . The sponge hit the ground when y = 0 .Solve the equation. 16 x 2 + 280 = 0 . 16 x 2 = 280 . x 2 = 280 / 16 = 17.5. x = ± 17.5 ≈ 4.18 . So, Domain of the function [ 0 , 4.18 ] . Range of the function is [ 0 , 280 ] .

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015

15th Edition

ISBN: 9781608408405

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Cengage Learning

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Question

Chapter 2.4, Problem 27E

To determine

Use a graphing calculator to create a scatter plot. Which better represents the data, a line or a parabola.

Expert Solution

Answer to Problem 27E

Parabola represents better the data.

Explanation of Solution

Given information: The table shows the heights h (in feet) of a sponge t seconds after it was dropped by a window cleaner on top of a skyscraper.

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 2.4, Problem 27E , additional homework tip 1

Calculation:

From the given table data graph is given below.

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 2.4, Problem 27E , additional homework tip 2

S0,from the graph parabola represents better the data.

To determine

Use the regression feature of your calculator to ?nd the model that best ?ts the data.

Expert Solution

Answer to Problem 27E

We use the regression feature of the calculator to determine the model that better fits the data.

Explanation of Solution

Given information: The table shows the heights h (in feet) of a sponge t seconds after it was dropped by a window cleaner on top of a skyscraper.

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 2.4, Problem 27E , additional homework tip 3

Calculation

From the given table data graph is given below

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 2.4, Problem 27E , additional homework tip 4

S0, We use the regression feature of the calculator to determine the model that better fits the data.

To determine

Use the model in part (b) to predict when the sponge will hit the ground.

Expert Solution

Answer to Problem 27E

The sponge hit the ground when y=0 .

Explanation of Solution

Given information: The table shows the heights h (in feet) of a sponge t seconds after it was dropped by a window cleaner on top of a skyscraper.

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 2.4, Problem 27E , additional homework tip 5

Calculation:

From the given table data graph is given below.

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 2.4, Problem 27E , additional homework tip 6

y=−16x2+3.7272+10−15x+280 .y≈−16x2+280 .

The sponge hit the ground when y=0 .Solve the equation.

16x2+280=0 .16x2=280 .x2=280/16=17.5.x=±17.5≈4.18 .

To determine

Identify and interpret the domain and range in this situation.

Expert Solution

Answer to Problem 27E

Domain of the function [0,4.18] .

Range of the function is [0,280] .

Explanation of Solution

Given information: The table shows the heights h (in feet) of a sponge t seconds after it was dropped by a window cleaner on top of a skyscraper.

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 2.4, Problem 27E , additional homework tip 7

Calculation:

From the given table data graph is given below.

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 2.4, Problem 27E , additional homework tip 8

y=−16x2+3.7272+10−15x+280 .y≈−16x2+280 .

The sponge hit the ground when y=0 .Solve the equation.

16x2+280=0 .16x2=280 .x2=280/16=17.5.x=±17.5≈4.18 .

So,

Domain of the function [0,4.18] .

Range of the function is [0,280] .

Chapter 2.4, Problem 26E

Chapter 2.4, Problem 28E

Chapter 2 Solutions

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - Prob. 41E Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - Prob. 44E Ch. 2.1 - Prob. 45E Ch. 2.1 - Prob. 46E Ch. 2.1 - Prob. 47E Ch. 2.1 - Prob. 48E Ch. 2.1 - Prob. 49E Ch. 2.1 - Prob. 50E Ch. 2.1 - Prob. 51E Ch. 2.1 - Prob. 52E Ch. 2.2 - Prob. 1E Ch. 2.2 - Prob. 2E Ch. 2.2 - Prob. 3E Ch. 2.2 - Prob. 4E Ch. 2.2 - Prob. 5E Ch. 2.2 - Prob. 6E Ch. 2.2 - Prob. 7E Ch. 2.2 - Prob. 8E Ch. 2.2 - Prob. 9E Ch. 2.2 - Prob. 10E Ch. 2.2 - Prob. 11E Ch. 2.2 - Prob. 12E Ch. 2.2 - Prob. 13E Ch. 2.2 - Prob. 14E Ch. 2.2 - Prob. 15E Ch. 2.2 - Prob. 16E Ch. 2.2 - Prob. 17E Ch. 2.2 - Prob. 18E Ch. 2.2 - Prob. 19E Ch. 2.2 - Prob. 20E Ch. 2.2 - Prob. 21E Ch. 2.2 - Prob. 22E Ch. 2.2 - Prob. 23E Ch. 2.2 - Prob. 24E Ch. 2.2 - Prob. 25E Ch. 2.2 - Prob. 26E Ch. 2.2 - Prob. 27E Ch. 2.2 - Prob. 28E Ch. 2.2 - Prob. 29E Ch. 2.2 - Prob. 30E Ch. 2.2 - Prob. 31E Ch. 2.2 - Prob. 32E Ch. 2.2 - Prob. 33E Ch. 2.2 - Prob. 34E Ch. 2.2 - Prob. 35E Ch. 2.2 - Prob. 36E Ch. 2.2 - Prob. 37E Ch. 2.2 - Prob. 38E Ch. 2.2 - Prob. 39E Ch. 2.2 - Prob. 40E Ch. 2.2 - Prob. 41E Ch. 2.2 - Prob. 42E Ch. 2.2 - Prob. 43E Ch. 2.2 - Prob. 44E Ch. 2.2 - Prob. 45E Ch. 2.2 - Prob. 46E Ch. 2.2 - Prob. 47E Ch. 2.2 - Prob. 48E Ch. 2.2 - Prob. 49E Ch. 2.2 - Prob. 50E Ch. 2.2 - Prob. 51E Ch. 2.2 - Prob. 52E Ch. 2.2 - Prob. 53E Ch. 2.2 - Prob. 54E Ch. 2.2 - Prob. 55E Ch. 2.2 - Prob. 56E Ch. 2.2 - Prob. 57E Ch. 2.2 - Prob. 58E Ch. 2.2 - Prob. 59E Ch. 2.2 - 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Prob. 9E Ch. 2.3 - Prob. 10E Ch. 2.3 - Prob. 11E Ch. 2.3 - Prob. 12E Ch. 2.3 - Prob. 13E Ch. 2.3 - Prob. 14E Ch. 2.3 - Prob. 15E Ch. 2.3 - Prob. 16E Ch. 2.3 - Prob. 17E Ch. 2.3 - Prob. 18E Ch. 2.3 - Prob. 19E Ch. 2.3 - Prob. 20E Ch. 2.3 - Prob. 21E Ch. 2.3 - Prob. 22E Ch. 2.3 - Prob. 23E Ch. 2.3 - Prob. 24E Ch. 2.3 - Prob. 25E Ch. 2.3 - Prob. 26E Ch. 2.3 - Prob. 27E Ch. 2.3 - Prob. 28E Ch. 2.3 - Prob. 29E Ch. 2.3 - Prob. 30E Ch. 2.3 - Prob. 31E Ch. 2.3 - Prob. 32E Ch. 2.3 - Prob. 33E Ch. 2.3 - Prob. 34E Ch. 2.3 - Prob. 35E Ch. 2.3 - Prob. 36E Ch. 2.3 - Prob. 37E Ch. 2.3 - Prob. 38E Ch. 2.3 - Prob. 39E Ch. 2.3 - Prob. 40E Ch. 2.3 - Prob. 41E Ch. 2.3 - Prob. 42E Ch. 2.3 - Prob. 43E Ch. 2.3 - Prob. 44E Ch. 2.3 - Prob. 45E Ch. 2.3 - Prob. 46E Ch. 2.3 - Prob. 47E Ch. 2.3 - Prob. 48E Ch. 2.3 - Prob. 49E Ch. 2.3 - Prob. 50E Ch. 2.3 - Prob. 51E Ch. 2.3 - Prob. 52E Ch. 2.3 - Prob. 53E Ch. 2.3 - Prob. 54E Ch. 2.3 - Prob. 55E Ch. 2.3 - Prob. 56E Ch. 2.3 - Prob. 57E Ch. 2.3 - Prob. 58E Ch. 2.3 - Prob. 59E Ch. 2.3 - Prob. 60E Ch. 2.4 - Prob. 1E Ch. 2.4 - Prob. 2E Ch. 2.4 - Prob. 3E Ch. 2.4 - Prob. 4E Ch. 2.4 - Prob. 5E Ch. 2.4 - Prob. 6E Ch. 2.4 - Prob. 7E Ch. 2.4 - Prob. 8E Ch. 2.4 - Prob. 9E Ch. 2.4 - Prob. 10E Ch. 2.4 - Prob. 11E Ch. 2.4 - Prob. 12E Ch. 2.4 - Prob. 13E Ch. 2.4 - Prob. 14E Ch. 2.4 - Prob. 15E Ch. 2.4 - Prob. 16E Ch. 2.4 - Prob. 17E Ch. 2.4 - Prob. 18E Ch. 2.4 - Prob. 19E Ch. 2.4 - Prob. 20E Ch. 2.4 - Prob. 21E Ch. 2.4 - Prob. 22E Ch. 2.4 - Prob. 23E Ch. 2.4 - Prob. 24E Ch. 2.4 - Prob. 25E Ch. 2.4 - Prob. 26E Ch. 2.4 - Prob. 27E Ch. 2.4 - Prob. 28E Ch. 2.4 - Prob. 29E Ch. 2.4 - Prob. 30E Ch. 2.4 - Prob. 31E Ch. 2.4 - Prob. 32E Ch. 2.4 - Prob. 33E Ch. 2.4 - Prob. 34E Ch. 2.4 - Prob. 35E Ch. 2.4 - Prob. 36E Ch. 2.4 - Prob. 37E Ch. 2.4 - Prob. 38E Ch. 2.4 - Prob. 39E Ch. 2.4 - Prob. 40E Ch. 2.4 - Prob. 41E Ch. 2 - Prob. 1CR Ch. 2 - Prob. 2CR Ch. 2 - Prob. 3CR Ch. 2 - Prob. 4CR Ch. 2 - Prob. 5CR Ch. 2 - Prob. 6CR Ch. 2 - Prob. 7CR Ch. 2 - Prob. 8CR Ch. 2 - Prob. 9CR Ch. 2 - Prob. 10CR Ch. 2 - Prob. 11CR Ch. 2 - Prob. 12CR Ch. 2 - Prob. 13CR Ch. 2 - Prob. 14CR Ch. 2 - Prob. 15CR Ch. 2 - Prob. 16CR Ch. 2 - Prob. 1CT Ch. 2 - Prob. 2CT Ch. 2 - Prob. 3CT Ch. 2 - Prob. 4CT Ch. 2 - Prob. 5CT Ch. 2 - Prob. 6CT Ch. 2 - Prob. 7CT Ch. 2 - Prob. 8CT Ch. 2 - Prob. 9CT Ch. 2 - Prob. 10CT Ch. 2 - Prob. 11CT Ch. 2 - Prob. 1CA Ch. 2 - Prob. 2CA Ch. 2 - Prob. 3CA Ch. 2 - Prob. 4CA Ch. 2 - Prob. 5CA Ch. 2 - Prob. 6CA Ch. 2 - Prob. 7CA Ch. 2 - Prob. 8CA Ch. 2 - Prob. 9CA

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Use a graphing calculator to create a scatter plot . Which better represents the data, a line or a parabola.

Concept explainers

Videos

Use a graphing calculator to create a scatter plot. Which better represents the data, a line or a parabola.

Answer to Problem 27E

Explanation of Solution

Use the regression feature of your calculator to ?nd the model that best ?ts the data.

Answer to Problem 27E

Explanation of Solution

Use the model in part (b) to predict when the sponge will hit the ground.

Answer to Problem 27E

Explanation of Solution

Identify and interpret the domain and range in this situation.

Answer to Problem 27E

Explanation of Solution

Chapter 2 Solutions