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."
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."