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.
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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?"
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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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