The price of a certain ice cream cone is increasing at the r

The price of a certain ice cream cone is increasing at the rate of 14^e0.06t cents per year, where t is measured in years and t = 0 corresponds to 2014. Find the total change in price between the years 2014 and 2024. (Round your answer to the nearest cent.)

Solution

Given that price of a icecream is increasing at the rate of 14^e^0.06t cents per year.

Starting year is 2014 and ending year is 2024

Need to find the total change in price between the years 2014 and 2024.

From 2014 to 2024, t=10 years.

Increasing price= 14^e^0.06t

=14^e^0.06(10)

= 14^e^0.6

= 122.5692

By rounding to the nearest cent, it is 123

Therefore, the total change in price between the years 2014 and 2024 is 123