Question

Alexis runs a small business and creates recordings of her friend’s skateboard stunts. She puts the recordings onto Instagram. She currently has 100 Instagram followers. If the number of followers grows at a rate of 1% every 12 hours. The following function represents this situation.

f(x) = f(1. + r)^t where f is the number of initial followers and r is the grown rate and t is time.
1) Alexis wants to figure out how many followers she will have after 5 days, use the equation to solve.

Answer 1

110.4622 = 110 (as followers cannot be in decimals).

Explanation:

Given, growth rate is 1% = 0.01.

and it is for every 12 hours.

now, f(x) = f(1 + r)^t. where f= 100 (initial followers)

r = 0.01.

t =10 (1 for every 12 hours. so, 5 days = 120 hours = 10 times)

⇒ f(x) = 100(1+0.01)¹⁰ = 110.4622 = 110 followers.