SOLUTION: Could you help me solve ?? The cost of a can of Coca-Cola on January 1, 1960 , was 10 cents. The function {{{C(t)=0.10e^(0.0576t)}}} gives the cost of a can of Coca-Cola, C(t),

Question 1042813: Could you help me solve ??
The cost of a can of Coca-Cola on January 1, 1960 , was 10 cents. The function gives the cost of a can of Coca-Cola, C(t), t years after that.
a.) How much did a can of Coca Cola cost in 1975 (round to nearest penny)?
b.) In what year will a can of Coca-Cola cost $1.00 (round to nearest whole year).
c.) How much does a can of Coca-Cola cost in 2045 ?
Thank you so much !!
Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The cost of a can of Coca-Cola on January 1, 1960 , was 10 cents. The function C(t)=0.10e^(0.0576t) gives the cost of a can of Coca-Cola, C(t), t years after that.
a.) How much does a can of Coca Cola cost in 1975 (round to nearest penny)?
# of years 60 to 75 = 15
C(15) = 0.10*e^(0.0576*15) = 0.10*2.3726 = 0.237 = 24 cents if rounded up
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b.) In what year will a can of Coca-Cola cost $1.00 (round to nearest whole year).
Solve for "t"
1 = 0.10*e^(0.0576t)
e^(0.0576t) = 10
Take the natural log of both sides to get:
0.0576t = 2.3026
t = 40 if rounded up
Ans: 1960 + 40 = year 2000
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c.) How much does a can of Coca-Cola cost in 2045 ?
1960 to 2045 = 85 years
C(85) = 0.10*e^(0.0576*85)
I'll leave that calculation to you.
Cheers
Stan H.
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Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

a.) How much did a can of Coca Cola cost in 1975.
(round to nearest penny)?

1975 was 15 years after 1960, so t=15 , about 24 cents.

b.) In what year will a can of Coca-Cola cost $1.00
(round to nearest whole year).

40 years from 1960 was 2000

c.) How much does a can of Coca-Cola cost in 2045 ?

You do that one. 2045 is 85 years after 1960. Do it just like the first one. Coke will be expensive then! Edwin

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