[tex]\[ f(x)=4800(1.5)^x \][/tex]

Part C

During their team meeting, both managers shared their findings. Complete the statement describing their combined results. Select the correct answer from each drop-down menu.

The initial number of video views was [tex]\(\square\)[/tex] the initial number of site visits, and the number of video views grew by [tex]\(\square\)[/tex] the number of site visits.



Answer :

To solve the given problem, let's break it down step-by-step.

1. Understand the function [tex]\( f(x) \)[/tex]:
- The function represents the number of video views and is given by [tex]\( f(x) = 4800 \times (1.5)^x \)[/tex].

2. Calculate the initial number of video views:
- When [tex]\( x = 0 \)[/tex]:
[tex]\[ f(0) = 4800 \times (1.5)^0 = 4800 \times 1 = 4800 \][/tex]
- Therefore, the initial number of video views is 4800.

3. Understand the initial number of site visits:
- It's given that the initial number of site visits is 4800.

4. Compare the initial numbers:
- The initial number of video views (4800) is equal to the initial number of site visits (4800).

5. Understand the growth rates:
- The video views grow by a factor of [tex]\( 1.5 \)[/tex] per unit increase in [tex]\( x \)[/tex].
- The growth rate of site visits is given as 1, which implies it’s linear.

6. Compare the growth rates:
- The video views grow by [tex]\( 1.5 \)[/tex] times, which is more than the growth rate of the site visits, which is 1.

Thus, the final combined statement is:
- The initial number of video views was equal to the initial number of site visits.
- The number of video views grew by more than the number of site visits.

So, the final combined statement should be:
- "The initial number of video views was equal to the initial number of site visits, and the number of video views grew by more than the number of site visits."