Emma starts a food blog. when the blog is launched, the number of subscribers is 486. every month, the number of subscribers increases by one-third of the number of subscribers in the previous month. at this rate, what will be the number of subscribers after 6 months?

Exponential function: A function is of the form where a is the initial amount and b is the growth rate

Let x be the number of months.

As per the statement:

Emma starts a food blog. When the blog is launched, the number of subscribers is 486.

⇒a = Initial number of subscriber = 486

It is also given that  every month, the number of subscribers increases by one-third of the number of subscribers in the previous month.

Since, growth rate(r) = 1/3

then;

.......[1]

where y represents the number of subscribers after x months

We have to find the number of subscriber after 6 months

⇒

Substitute the value of x in [1] we have;

Simplify:

y = 2730.66667≈2731

Therefore, the number of subscribers after 6 months will be 2731