(Figure: Sales and Advertising) The graph shows the advertising expenditures and the resulting sales (in bottles) of a new caffeinated beverage called Jump. If consumer tastes change in the region where Jump is marketed and base sales increase by 1,500 bottles, what is the equation of the shifted line?
A) sales = 1,500 + 2 × advertising
B) sales = 3,000 + 2 × advertising
C) sales = 3,000 + 1,502 × advertising
D) sales = 4,500 + 2 × advertising

Question

(Figure: Sales and Advertising) The graph shows the advertising expenditures and the resulting sales (in bottles) of a new caffeinated beverage called Jump. If consumer tastes change in the region where Jump is marketed and base sales increase by 1,500 bottles, what is the equation of the shifted line? 
A) sales = 1,500 + 2 × advertising 
B) sales = 3,000 + 2 × advertising 
C) sales = 3,000 + 1,502 × advertising 
D) sales = 4,500 + 2 × advertising

Quizplus · Accepted Answer

To find the equation of the shifted line, we need to find the new equation of the line after the base sales have increased by 1,500 bottles.

First, we need to find the y-intercept of the original line. From the graph, we can see that when advertising expenditures are zero, sales are 3,000 bottles. Therefore, the equation of the original line is:

sales = 3,000 + 2 × advertising

To shift this line up by 1,500 bottles, we can simply add 1,500 to the y-intercept. Therefore, the equation of the shifted line is:

sales = 3,000 + 2 × advertising + 1,500
sales = 4,500 + 2 × advertising

Therefore, the correct answer is D.

(Figure: Sales and Advertising) the Graph Shows the Advertising Expenditures