Question

A media company wants to track the results of its new marketing plan, so the video production manager recorded the number of views for one of the company’s online videos. The results of the first 5 weeks are shown in this table. Weeks, x Views, f(x) 0 5,120 1 6,400 2 8,000 3 10,000 4 12,500 5 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 of a and b.

Answer 1

Answer:

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

Step-by-step explanation:

As per the given question

As we know that

f(x) and x are related by following equation

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

where

b is the common ratio

Now first we have to compute the value for b which are as follows

$\frac{6400}{5120}= 1.25$

$\frac{8000}{6400}= 1.25$

Like if we take the ratio by this method than it comes 1.25

Therefore the common ratio, b = 1.25

So,

a = 5,120

Hence, the equation which model the relationship between the number of weeks and the number of viewers is

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

Answer 2

Answer:

f(x)=5120(1.25)^x

Step-by-step explanation:

You start by replacing A with the initial value

Find the difference of each amount of views you get:

15626 divided by 12500 is 1.25

12,500 divided by 10000 is 1.25

Replace B with 1.25.