Question

I need help with my homewrok PLEASE CHECK WORK number 1

Answer 1

D

`C(t)=84(1.02)^(t)`

Explanation

Given that the price of the tickets each year is 2% more than the previous year, then the function that represents the price is an exponential growth function.

Exponential growth formula

`C(t)=a(1+r)^t`

where

• C(t): ticket's price after t years

,

• a: initial price

,

• r: growth rate, as a decimal

,

• t: time in years

Substituting a = $84, r = 0.02 (= 2/100):

`\begin{gathered} C(t)=84(1+0.02)^t \\ C(t)=84(1.02)^t \end{gathered}`