Question 1042813
{{{C(t)=0.10e^(0.0576t)}}}

a.) How much did a can of Coca Cola cost in 1975.
 (round to nearest penny)?
<pre>
1975 was 15 years after 1960, so t=15

{{{C(15)=0.10e^(0.0576*15)}}}

{{{C(15)=0.10e^(0.864)= 0.2372632267}}}, about 24 cents.
</pre>
b.) In what year will a can of Coca-Cola cost $1.00 
(round to nearest whole year). 
<pre>
{{{1.00=0.10e^(0.0576t)}}}


{{{1.00/0.10=e^(0.0576t)}}}

{{{10=e^(0.0576t)}}}

{{{ln(10) = 0.0576t}}}

{{{ln(10)/0.0576 = t}}}

{{{39.97543564 = t}}}

40 years from 1960 was 2000
</pre>
c.) How much does a can of Coca-Cola cost in 2045 ? 
<pre>
You do that one.  2045 is 85 years after 1960.  Do
it just like the first one. Coke will be expensive then!

Edwin</pre>