3. An advertising agency conducted a survey and found that the number of units sold, N , depends on the amount a, spent on advertising (in dollars). The following table gives the amount spent on advertising and the number of units sold accordingly. Source: The Nature of Mathematics, 10e, Smith, K.J. Amount Spent (S) Number of Units Sold 1000 ubyos 3,572 3,902 4,055 3000 5000 7000 4,156 Using a calculator, makea scatter plot of the data, where x represents the amount of money spent. Using your calcu lator, find the logarithmic regression (LnReg) that models this situation. Call this equation N(a), and round values to the nearest whole number. а. 2 According to the model N(a), how many units are sold if $8,000 is spent on advertising? b. Using the model N(a), algebraically determine how much money needs to be spent on advertising in order to sell 5,000 units. You may check your answer graphically. с. Fall 2019 350

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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3. An advertising agency conducted a survey and found that the number of units sold, N , depends on
the amount a, spent on advertising (in dollars). The following table gives the amount spent on
advertising and the number of units sold accordingly. Source: The Nature of Mathematics, 10e, Smith, K.J.
Amount Spent (S)
Number of Units Sold
1000
ubyos
3,572
3,902
4,055
3000
5000
7000
4,156
Using a calculator, makea scatter plot of the data, where x represents the amount of money spent.
Using your calcu lator, find the logarithmic regression (LnReg) that models this situation. Call this
equation N(a), and round values to the nearest whole number.
а.
2
According to the model N(a), how many units are sold if $8,000 is spent on advertising?
b.
Using the model N(a), algebraically determine how much money needs to be spent on advertising in
order to sell 5,000 units. You may check your answer graphically.
с.
Fall 2019
350
Transcribed Image Text:3. An advertising agency conducted a survey and found that the number of units sold, N , depends on the amount a, spent on advertising (in dollars). The following table gives the amount spent on advertising and the number of units sold accordingly. Source: The Nature of Mathematics, 10e, Smith, K.J. Amount Spent (S) Number of Units Sold 1000 ubyos 3,572 3,902 4,055 3000 5000 7000 4,156 Using a calculator, makea scatter plot of the data, where x represents the amount of money spent. Using your calcu lator, find the logarithmic regression (LnReg) that models this situation. Call this equation N(a), and round values to the nearest whole number. а. 2 According to the model N(a), how many units are sold if $8,000 is spent on advertising? b. Using the model N(a), algebraically determine how much money needs to be spent on advertising in order to sell 5,000 units. You may check your answer graphically. с. Fall 2019 350
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