Question

11. A company is selling two new products. Weekly sales of product one can be

modeled by the function f(x) = 100(1.108)* after x weeks. Weekly sales of product
two can be modeled by the function g(x) = 10x + 200 after x weeks. After
approximately how many weeks will the weekly sales of the two products be the
same? (Hint: Where do they intersect)
Tide
A. 9 weeks
B. 11 weeks
C. 15 weeks
D. 19 weeks

Answer 1

We need to find the value of x for which f(x) = g(x). Substituting the given functions, we get:

100(1.108)^x = 10x + 200

We can solve for x using trial and error, or by graphing the two functions and finding their intersection point. Using trial and error, we find that the answer is approximately 15 weeks. Therefore, the correct answer is C