Question

I need some help! 50 POINTS WILL MARK BRAINIEST!

Question A, Part 1,

A media company wants to track the results of it's new marketing plan, so the video production manager recorded the number of views for one of the company's online videos. Thw results of the first 5 weeks arw shown in the table.

Weeks x, 0, 1, 2, 3, 4, 5

Views F(x), 5,120, 6,400, 8,000, 10,000, 12,500, 15, 625

Write an equation to model the relationship between the number of weeks, x, and the number of views F(x). Enter the correct answer in the box by replacing the values or a and b

f(x) = a(b)^x


Part B

During the same time, the digital print manager tracked the number of visits to the websites homepage. He found that before launching the new marketing plan, there were 4,800 visits. Over the course of the next 5 weeks, the number of site visits increased by a factor of 1.5 each week.

Write an equation to model the relationship between the number of weeks, x, and the number of site visits f(x).

Enter of the correct answer in the box by replacing the values or a and b.

f(x) = a(b)^x


Part C

During their team meeting, both managers shared their findings. Complete each statement describing their combined results.

Select the correct answer from each drop down menu.

The initial number of video views was ___(A:More than, B:The same as, C:Fewer than). the initial number if site visits, and the number if video views grew by___(A:A smaller factor than, B:The same factor as, C:A larger factor than), the number of site visits.

The difference between the total number of site visits and the video views after 5 weeks is___(A:20,825, B:36,450, C:52,075, D:15,625)

Please help it'd be really helpful! I'm having a lot of issues and it's due really soon thank you!! <3 ​

Answer 1

Answer:

A) $f(x)=5120(1.25)^x$

B) $f(x)=4800(1.5)^x$

C) see below

Step-by-step explanation:

Part A

Hopefully this formatting looks ok:

| Weeks x | Views f(x) |

| ------------ | -------------- |

|      0        |     5120     |

|       1        |     6400    |

|      2        |     8000    |

|      3        |     10000   |

|      4        |     12500   |

|      5        |     15625   |

| ------------ | -------------- |

That's my attempt at a table.

We need an equation in the form of:

$f(x)=a(b)^x$

where a is the starting value and b is the growth factor.

First, check the difference between each week:

$6400 - 5120=1280\\8000 - 6400=1600\\10000 - 8000=2000\\12500 - 10000=2500\\15625 - 12500=3125$

Then, check the scale factor for each of the differences:

$16000\div 12080 = 1.25\\2000\div 1600=1.25$

etc..

The difference grows by 1.25x each week. That is, a grow factor of 1.25.

Now that we have both the starting value and the grow factor, we can write the equation:

$f(x)=5120(1.25)^x$

If you want to test it, for example, calculate for the 3rd week:

$f(3)=5120(1.25)^3\\f(3)=5120(1.953125)\\f(3)=10000$

Part B

This is very similar to Part A. The starting value and growth factor are given this time, so all you need to do is write the equation with the new values.

$f(x)=4800(1.5)^x$

Part C

The initial number of video views (5120) was more than the initial number of site views (4800), and the number of video views grew (1.25) by a smaller factor than the number of site visits (1.5).

The difference between the total number of site visits and the video views after 5 weeks is 20,825.

$f(5)=5120(1.25)^5=15625 -video\\f(5)=4800(1.5)^5=36450-site\\36450-15625=20825$

Answer 2

The equation to model the relationship between the number of weeks and the number of views will be f(x) = 5120(1.25)^x

How to depict the equation?

From the information given, the difference in the views will be:

6400 - 5120 = 1280

8000 - 6400 = 1600

10000 - 8000 = 2000

The scale factor will be:

= 1600/1280 = 2000/1600

= 1.25

Therefore, the growth factor is 1.25.

The equation to model the relationship between the number of weeks, x, and the number of site visits is 4800(1.5)^x.

Lastly, the difference between the total number of visits and the video views will be:

= 4800(1.5)^5 - 5120(1.25)^5

= 36450 - 15625

= 20825

Learn more about equations on:

https://brainly.com/question/13763238

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