a media company wants to track the results of its new marketing plan, so the video production manager…

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 companys online videos. the results of the first 5 weeks are shown in this table.\n|weeks, x|views, f(x)|\n|----|----|\n|0|5,120|\n|1|6,400|\n|2|8,000|\n|3|10,000|\n|4|12,500|\n|5|15,625|\nwrite an equation to model the relationship between the number of weeks, x, and the number of views, f(x).\nenter the correct answer in the box by replacing the values of a and b.\nf(x)=a(b)^x

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 companys online videos. the results of the first 5 weeks are shown in this table.\n|weeks, x|views, f(x)|\n|----|----|\n|0|5,120|\n|1|6,400|\n|2|8,000|\n|3|10,000|\n|4|12,500|\n|5|15,625|\nwrite an equation to model the relationship between the number of weeks, x, and the number of views, f(x).\nenter the correct answer in the box by replacing the values of a and b.\nf(x)=a(b)^x

Answer

Explanation:

Step1: Find the value of a

When (x = 0), (f(x)=a(b)^0=a). From the table, when (x = 0), (f(x)=5120), so (a = 5120).

Step2: Find the value of b

We know (f(x)=a(b)^x), with (a = 5120). Let's use another - point, say ((x = 1,f(x)=6400)). Substitute into the equation (f(x)=a(b)^x): (6400=5120(b)^1). Then (b=\frac{6400}{5120}=\frac{5}{4}=1.25).

Answer:

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