The cost of a can of CocaCola in 1960 was 010 The function

The cost of a can of Coca-Cola in 1960 was $0.10 . The function that models the cost of a Coca-Cola by year is C(t)=0.10e0.0576t , where t is the number of years since 1960 . In what year is it expected that a can of Coca-Cola will cost $1.00 ?

In the year ............ , Coca-Cola was expected to cost $1.00 .

Solution

C(t) = 0.1e^(0.0576t)

t is since 1960

1.00 = 0.1e^(0.0576t)

10 = e^(0.0576t)

Take ln on both sides : ln(10) = 0.0576t

t = 39.97 yrs

1960+ 39.97 = 2000 year was expected to cost $1.00