SOLUTION: Write an exponential equation to describe the rate of inflation over this time period. Let t=0 correspond to 2014, and let C be the cost of a 2-liter. Round any numbers you calcula

Question 1202731: Write an exponential equation to describe the rate of inflation over this time period. Let t=0 correspond to 2014, and let C be the cost of a 2-liter. Round any numbers you calculate to at least four decimal places; do not round off in the middle of your calculations!
C =
If inflation continues at the same rate, how much will a 2-liter of Coke cost in 2030?
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.

This post makes no sense.

In other words, it is NONSENSE.

Please do not generate nonsense and do not post nonsense to this forum.

======================

Comment from student: Sorry, I typed in my question incorrectly. It was supposed to say,

    "In 2014, a 2-liter of Coca-Cola cost $1.54. 
    In 2022, the cost is $2.21. If inflation continues at the same rate, 
    how much will a 2-liter of Coke cost in 2030?"

~~~~~~~~~~~~~~~~~~~

My response: In this edited formulation, the problem is correct and is much better,
so you can learn a lot of useful from my solution.

In this problem, the growth of all prices is assumed to be exponential with 
a constant exponential rate.


Note that there are 8 years from 2014 to 2022  (2022-2014 = 8 years),
and there is THE SAME amount of 8 years from 2022 to 2030 (2030-2022 = 8 years).


We are given that the price on 2-liters Coca-Cola bottle grew up 
in the ratio  = 1.435 (rounded)  in 8 years from 2014 to 2022.


At the exponential growth, this price will increase at the same ratio 
in the next 8 years from 2022 to 2030.


So, in 2030, a 2-liters Coca-Cola bottle will cost  

    1.435*2.21 = 3.17 dollars  (rounded to the closest cent)

Solved, with explanations.

And with the minimum necessary calculations.

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