The cost of going to the movies can be modeled by the function f(x)= 15.5(1.14)^t where t is in years and starts in the year 2005. if this trend continues, how much will it cost to go to the movies this year?

$97.05

Step-by-step explanation:

Assuming t=0 corresponds to 2005, then t=14 will correspond to this year, 2019. Putting that value into the function gives ...

f(14) = 15.5·1.14^14 ≈ 97.05

The cost of going to the movies this year is predicted to be $97.05.

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