At different times on a certain day, a manager at a theme park record…

Question

Prompt

At different times on a certain day, a manager at a theme park recorded the number of visitors. An exponential model gives the estimated number of visitors,

V

, at the theme park

t

hours after the theme park opened, where

t \leq 3

. Based on the model,

85

visitors were estimated to be at the theme park when it opened, and every

30

minutes the estimated number of visitors increased by

140%

of the estimated number of visitors

30

minutes earlier. Which of the following equations best represents this model?

V = 85 (1.40)^{\frac{t}{30}}

V = 85 (1.40)^{2 t}

V = 85 (2.40)^{\frac{t}{30}}

V = 85 (2.40)^{2 t}