Answer:
(1). 110 followers
(2). 463 days
(3). Days since upload 0 10 20 50 100 300 500
Number of Instagram followers 100 122 149 270 732 39158 2,000,000
(5)
Step-by-step explanation:
Part 1:
The function that represents the situation is:
Where is number of days.
Using this equation we find the number of followers after 5 days:
followers.
Part 2:
We solve the equation
for and get:
It takes Alexis 463 days to reach 1,000,000 followers.
Part 3:
Days since upload 0 10 20 50 100 300 500
Number of Instagram followers 100 122 149 270 732 39158 2,000,000
This is obtained from the graph of the function f(x).
Part 4:
The number of Instagram followers increases fast because the rate of increase is 1% of the previous number of followers, and as the followers increase, this 1% takes increasingly big values, leading to increasingly fast growth rate of followers. Put simply, we would say that f(x) is an exponential function.
Par 5:
If the rate is increased to 3% every 24 hours, then the function f(x) becomes:
where is days. and if we represent this in terms of every 12 hours then
where is every 12 hours.