f(x)=9,000(0.66)x f(x)= 9,000(0.66)^{x}
The given function $f$ models the number of advertisements a company sent to its clients each year, where $x$ represents the number of years since 1997, and $0 \leq x \leq 5$. If $y=f(x)$ is graphed in the $x y$-plane, which of the following is the best interpretation of the $y$-intercept of the graph in this context? A. The minimum estimated number of advertisements the company sent to its clients during the 5 years was 1,708 . B. The minimum estimated number of advertisements the company sent to its clients during the 5 years was 9,000 . C. The estimated number of advertisements the company sent to its clients in 1997 was 1,708 . D. The estimated number of advertisements the company sent to its clients in 1997 was 9,000 .
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Answer

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Step 1
: Identify the y-intercept of the given function.

f(0)=9,000(0.66)0=9,000×1=9,000f(0)=9,000(0.66)^{0}=9,000 \times 1=9,000

Step 2
: Interpret the y-intercept in the context of the problem.

The y-intercept represents the estimated number of advertisements the company sent to its clients in 1997, as $x$ represents the number of years since 1997.

Final Answer

The estimated number of advertisements the company sent to its clients in 1997 was 9,000.