The function f(x) = 12,419(1.4)x represents the number of visitors to a website x years after it was launched. Each year, the number of visitors is _____ the number the year before.
￼ A.
0.4 times
￼ B.
4 times
￼ C.
1.4 times
￼ D.
4 more than

The given function is:

\[
f(x) = 12,419(1.4)^x
\]

This is an exponential function, where the base of the exponent, 1.4, represents the growth factor.

Each year, the number of visitors increases by a factor of **1.4**, which means the number of visitors is **1.4 times** the number of visitors the year before.

Therefore, the correct answer is:

**C. 1.4 times**

Would you like more details or have any further questions? Here are 5 related questions to deepen your understanding:

1. How would the growth rate change if the base were 1.5 instead of 1.4?
2. How can you calculate the number of visitors after 5 years using this function?
3. What does the 12,419 in the function represent in terms of the website's visitors?
4. What would the function look like if the number of visitors decreased by 10% each year?
5. How do you determine the doubling time of the number of visitors with this growth rate?

**Tip:** In exponential growth, the base of the exponent indicates the factor by which a quantity increases (or decreases) over time.

The function f(x) = 12,419(1.4)^x represents the number of visitors to a website x years after it was launched. Each year, the number of visitors is _____ the number the year before.

Understand how exponential growth affects website visitors through the function f(x) = 12,419(1.4)^x. Learn how the number of visitors increases by 1.4 times each year, and explore related mathematical concepts such as exponential functions and growth rates. Suitable for Grades 9-12.

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