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maxonik [38]
3 years ago
8

A social media website had 350,000 followers in 2010. The number y of followers

Mathematics
1 answer:
Zolol [24]3 years ago
5 0

Answer:

a) y(t) = 350(1.02)^t

b) 394 thousand = 394,000 people will be following the website in 2016

Step-by-step explanation:

Exponential equation for an amount:

The exponential equation for an amount after t years has the following format:

y = y(0)(1+r)^t

In which y(0) is the initial value and r is the growth rate, as a decimal.

A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.

This means that: y(0) = 350, r = 0.02

a. Write an exponential growth function that represents the number of followers t years after 2010

In thousands:

y(t) = 350(1 + 0.02)^t

y(t) = 350(1.02)^t

b. How many people will be following the website in 2016?

2016 is 6 years after 2010, so this is y(6).

y(6) = 350(1.02)^6 = 394.2

Rounding to the nearest thousand:

394 thousand = 394,000 people will be following the website in 2016

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