Answer
D
[tex]C(t)=84(1.02)^{t}[/tex]
Step-by-step 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
[tex]C(t)=a(1+r)^t[/tex]
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):
[tex]\begin{gathered} C(t)=84(1+0.02)^t \\ C(t)=84(1.02)^t \end{gathered}[/tex]
