Concept explainers
(a)
To check: The ordered pair
(a)
Answer to Problem 22AYU
Not function
Explanation of Solution
Given: A marketing firm wishes to find a function that relates the sales S of a product and A , the amount spent on advertising the product. The data are obtained from past experience. Advertising and sales are measured in thousands of dollars.
The ordered pair
So, Independent variable is
From table, Two same input get two different output.
Therefore, above table doesn’t represent function.
(b)
To draw: The
(b)
Answer to Problem 22AYU
Explanation of Solution
Given: A marketing firm wishes to find a function that relates the sales S of a product and A , the amount spent on advertising the product. The data are obtained from past experience. Advertising and sales are measured in thousands of dollars.
Using graphing utility to draw scatter plot.
(c)
To find: The line of best fit that models the relation between expenditures and sales.
(c)
Answer to Problem 22AYU
Explanation of Solution
Given: A marketing firm wishes to find a function that relates the sales S of a product and A , the amount spent on advertising the product. The data are obtained from past experience. Advertising and sales are measured in thousands of dollars.
Using graphing utility, the equation of line of best fit.
(d)
To find: The slope of line of best fit.
(d)
Answer to Problem 22AYU
Explanation of Solution
Given: A marketing firm wishes to find a function that relates the sales S of a product and A , the amount spent on advertising the product. The data are obtained from past experience. Advertising and sales are measured in thousands of dollars.
Using graphing utility, the equation of line of best fit.
Slope is coefficient of x.
Therefore, the slope is 2.067
(e)
To express: The relationship from part (c) using function notation.
(e)
Answer to Problem 22AYU
Explanation of Solution
Given: A marketing firm wishes to find a function that relates the sales S of a product and A , the amount spent on advertising the product. The data are obtained from past experience. Advertising and sales are measured in thousands of dollars.
Using graphing utility, the equation of line of best fit.
Now, write as function form.
Therefore,
Where, A represents expenditure and S represent sales.
(f)
To find: The domain of function.
(f)
Answer to Problem 22AYU
Explanation of Solution
Given: A marketing firm wishes to find a function that relates the sales S of a product and A , the amount spent on advertising the product. The data are obtained from past experience. Advertising and sales are measured in thousands of dollars.
Using graphing utility, the equation of line of best fit.
Now, write as function form.
Therefore,
Where, A represents expenditure and S represent sales.
The domain depends on the input value of A .
(g)
To predict: The sales for expenditures are $25,000.
(g)
Answer to Problem 22AYU
Explanation of Solution
Given: A marketing firm wishes to find a function that relates the sales S of a product and A , the amount spent on advertising the product. The data are obtained from past experience. Advertising and sales are measured in thousands of dollars.
Using graphing utility, the equation of line of best fit.
Now, write as function form.
Therefore,
Where, A represents expenditure and S represent sales.
Put
Hence, the sales of $34457.
Chapter 3 Solutions
Precalculus
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus (10th Edition)
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