Ans n solution can refer in the picture
Answer:
a) ![y(t) = 350(1.02)^t](https://tex.z-dn.net/?f=y%28t%29%20%3D%20350%281.02%29%5Et)
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](https://tex.z-dn.net/?f=y%20%3D%20y%280%29%281%2Br%29%5Et)
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](https://tex.z-dn.net/?f=y%280%29%20%3D%20350%2C%20r%20%3D%200.02)
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](https://tex.z-dn.net/?f=y%28t%29%20%3D%20350%281%20%2B%200.02%29%5Et)
![y(t) = 350(1.02)^t](https://tex.z-dn.net/?f=y%28t%29%20%3D%20350%281.02%29%5Et)
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](https://tex.z-dn.net/?f=y%286%29%20%3D%20350%281.02%29%5E6%20%3D%20394.2)
Rounding to the nearest thousand:
394 thousand = 394,000 people will be following the website in 2016
You would -a to get 6x=5-a then divide by 6 which you would get your final answer which is x=5-a/6
Answer: $18.90
Step-by-step explanation: