Concept explainers
a.
To make table values for the points
a.
Explanation of Solution
Given:
The given equation is:
Where,
Example for the development of table:
Let the number of potential viewers be 4 millions, which means
Now,
Similarly, different values of
Table:
Values of v (in millions) | Values of p (in millions) |
0 | 0 |
1 | 0.15 |
1.5 | 0.225 |
2 | 0.3 |
2.3 | 0.345 |
3 | 0.45 |
Conclusion:
From the table it can be interpreted that, with the increase in number of potential viewers there is also rise in the number of viewers.
b.
To graph the given equation
b.
Explanation of Solution
Given:
Calculation for graph:
Consider
Values of v (in millions) | Values of p (in millions) |
0 | 0 |
1 | 0.15 |
1.5 | 0.225 |
2 | 0.3 |
2.3 | 0.345 |
3 | 0.45 |
By taking different values of v , the graph can be plotted.
Given:
Interpretation:
The graph clearly shows a linear relation between v and p.
c.
To use the graph and estimate the number of viewers who watched the show when the number of potential viewers were 14 million.
c.
Answer to Problem 35PPS
The number of viewers who watched the show will be 2.1 million.
Explanation of Solution
Graph:
Conclusion:
From the graph it is clear that when there were 14 million potential viewers, 2.1 million viewers watched the show.
d.
To explain why the value of v cannot be considered negative
d.
Explanation of Solution
The given expression
So, mathematically v represents the count of people which cannot be negative, this is the reason why the values of v cannot be taken as negative values.
Conclusion:
Hence, after the analysis it is clear that it would be meaningless to consider the negative values of v.
Chapter 3 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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