Question

During a month-long advertising campaign, the total sales S of a magazine is modeled by the function S(x)=5x2+100x+10,000 where x,0≤x≤30, represents the number of days since the campaign began.

a. S(10)=15,000.
b. S(20)=25,000.
c. S(30)=35,000.
d. S(5)=7,625.

Answer 1

The total sales of a magazine during a month-long advertising campaign can be modeled by the function S(x) = 5x^2 + 100x + 10,000. To find the total sales on a specific day, substitute the value of x into the function and simplify the expression.

Step-by-step explanation:

The total sales of a magazine during a month-long advertising campaign can be modeled by the function S(x) = 5x² + 100x + 10,000, where x represents the number of days since the campaign began. To find the total sales on a specific day:

1. Replace x with the given value in the function.
2. Simplify the expression and calculate the result.

For example, to find S(10), substitute x = 10 into the function: S(10) = 5(10)² + 100(10) + 10,000 = 5(100) + 1,000 + 10,000 = 50,000 + 1,000 + 10,000 = 61,000. Therefore, the total sales on day 10 are 61,000.