Q4. [5 marks] The data in the table below on the right were collected from a leaking tire. This problem will require you to make tables and draw graphs. Use a plotting software (e.g. Desmos) that you are famil- iar with or are happy to become familiar with. For example, Desmos help is very good and will show you how make tables and construct regression lines. (a) Plot the P-t data points from the table at the right. In fact we have included this graph and positioned it beside the table as a way of letting you know what we want your submitted solutions to look like. Your submission should read as an article with the supporting tables and graphs interacting seamlessly with the text as if you were writing a story book or a report for your boss. If you have not had much experi- ence inserting an image in a page of text, this is a great time to master that, arguably it's even more im- portant than calculus! Thus the answers to the instructions below should be presented as a connected story. 400 350 300 -250 -200- -150- -100 -50- ) 0 10 20 30 40 40 50 50 60 60 70 80 t P 0 320 10 268 20 235 30 202 40 178 50 157 60 138 70 122 (b) Draw the graph of In(P) against t. (c) Find the linear regression equation for the graph of (b) and plot this line on top of the In(P) data. (d) Exponentiate your equation in (c) and plot this formula on top of the P-graph from part (a). (e) Use the formula from (d) to calculate the half-life of the exponential process (the time for P to be cut in half). Illustrate this half life on a copy of the P-graph--perhaps by drawing 2 lines on the graph such that the distance between them is the half-life.
Q4. [5 marks] The data in the table below on the right were collected from a leaking tire. This problem will require you to make tables and draw graphs. Use a plotting software (e.g. Desmos) that you are famil- iar with or are happy to become familiar with. For example, Desmos help is very good and will show you how make tables and construct regression lines. (a) Plot the P-t data points from the table at the right. In fact we have included this graph and positioned it beside the table as a way of letting you know what we want your submitted solutions to look like. Your submission should read as an article with the supporting tables and graphs interacting seamlessly with the text as if you were writing a story book or a report for your boss. If you have not had much experi- ence inserting an image in a page of text, this is a great time to master that, arguably it's even more im- portant than calculus! Thus the answers to the instructions below should be presented as a connected story. 400 350 300 -250 -200- -150- -100 -50- ) 0 10 20 30 40 40 50 50 60 60 70 80 t P 0 320 10 268 20 235 30 202 40 178 50 157 60 138 70 122 (b) Draw the graph of In(P) against t. (c) Find the linear regression equation for the graph of (b) and plot this line on top of the In(P) data. (d) Exponentiate your equation in (c) and plot this formula on top of the P-graph from part (a). (e) Use the formula from (d) to calculate the half-life of the exponential process (the time for P to be cut in half). Illustrate this half life on a copy of the P-graph--perhaps by drawing 2 lines on the graph such that the distance between them is the half-life.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
![Q4. [5 marks] The data in the table below on the right were collected from a leaking tire. This problem
will require you to make tables and draw graphs. Use a plotting software (e.g. Desmos) that you are famil-
iar with or are happy to become familiar with. For example, Desmos help is very good and will show you
how make tables and construct regression lines.
(a) Plot the P-t data points from the table at the right. In fact we have included this graph and positioned
it beside the table as a way of letting you know what we want your submitted solutions to look like. Your
submission should read as an article with the supporting tables and graphs interacting seamlessly with
the text as if you were writing a story book or a report for your boss. If you have not had much experi-
ence inserting an image in a page of text, this is a great time to master that, arguably it's even more im-
portant than calculus! Thus the answers to the instructions below should be presented as a connected
story.
400
350
300
-250
-200-
-150-
-100
-50-
) 0
10
20 30 40
40
50
50
60
60
70
80
t
P
0
320
10
268
20
235
30
202
40
178
50
157
60
138
70
122
(b) Draw the graph of In(P) against t.
(c) Find the linear regression equation for the graph of (b) and plot this line on top of the In(P) data.
(d) Exponentiate your equation in (c) and plot this formula on top of the P-graph from part (a).
(e) Use the formula from (d) to calculate the half-life of the exponential process (the time for P to be cut in
half). Illustrate this half life on a copy of the P-graph--perhaps by drawing 2 lines on the graph such that
the distance between them is the half-life.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43685a05-72bf-4819-84f1-719cb68e9c1a%2Fc8484519-1b13-4847-9636-274d27b7456b%2F056t6sk_processed.png&w=3840&q=75)
Transcribed Image Text:Q4. [5 marks] The data in the table below on the right were collected from a leaking tire. This problem
will require you to make tables and draw graphs. Use a plotting software (e.g. Desmos) that you are famil-
iar with or are happy to become familiar with. For example, Desmos help is very good and will show you
how make tables and construct regression lines.
(a) Plot the P-t data points from the table at the right. In fact we have included this graph and positioned
it beside the table as a way of letting you know what we want your submitted solutions to look like. Your
submission should read as an article with the supporting tables and graphs interacting seamlessly with
the text as if you were writing a story book or a report for your boss. If you have not had much experi-
ence inserting an image in a page of text, this is a great time to master that, arguably it's even more im-
portant than calculus! Thus the answers to the instructions below should be presented as a connected
story.
400
350
300
-250
-200-
-150-
-100
-50-
) 0
10
20 30 40
40
50
50
60
60
70
80
t
P
0
320
10
268
20
235
30
202
40
178
50
157
60
138
70
122
(b) Draw the graph of In(P) against t.
(c) Find the linear regression equation for the graph of (b) and plot this line on top of the In(P) data.
(d) Exponentiate your equation in (c) and plot this formula on top of the P-graph from part (a).
(e) Use the formula from (d) to calculate the half-life of the exponential process (the time for P to be cut in
half). Illustrate this half life on a copy of the P-graph--perhaps by drawing 2 lines on the graph such that
the distance between them is the half-life.
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