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.

Question

Mathematics

Ware

26 May, 19:52

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.

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Answers (1)

Know the Answer?

Fabian Sanford · Answer 1

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

Step-by-step 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.