Concept explainers
a .
To estimate: sales in 2020 using the given graph.
a .
![Check Mark](/static/check-mark.png)
Answer to Problem 44E
40000 units
Explanation of Solution
Given:
The sales began to drop according to the model
Where S represents the number of units sold and t represents the year, with
The graph representing this model is:
It is given that
Now, it the given graph, draw the line
The point where this line intersects the y-axis gives the number of units sold in the year 2020.
By looking at the graph it can be estimated that the sales of the year 2020 are nearly 40,000.
b.
To find: the value of k.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 44E
Explanation of Solution
Given:
The sales began to drop according to the model
Where S represents the number of units sold and t represents the year, with
Also in the year 2014, sales were 300,000.
Formula used:
The year 2014 corresponds to
The given population model gives the population in thousands Substitute
Take natural logarithms on both sides,
Substituting
c.
To estimate: sales in 2020 using the model.
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 44E
40,071units
Explanation of Solution
Given:
The sales began to drop according to the model
Where S represents the number of units sold and t represents the year, with
It is given that
So, substitute
Thus, sales is 2020 are nearly 40,071 units.
The sales in 2020 as obtained from part (a) are 40,000.
So, comparing the two, it can be said that both part (a) and part (c) provides nearly the same result.
Chapter 3 Solutions
EBK PRECALCULUS W/LIMITS
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