The function `V\left(t\right)=400\cdot\left(1.20\right)^{t}` represents the number of visitors to a small z
oo as a function of time in hours, where t is the number of hours after the zoo opens.
how many after 8 years
To find the number of visitors after 8 years, we need to substitute t = 8 into the function V(t) and solve for V(8).
V(8) = 400 * (1.20)^8
V(8) = 400 * 4.66832
V(8) ≈ 1867.33
Therefore, after 8 years, there will be approximately 1867 visitors to the small zoo.
well all i have are 400, 1428, 2115, 1719
Let's calculate the values of V(8) using the provided answers to determine which one is correct.
1. When t = 8,
V(8) = 400 * (1.20)^8 = 400 * 4.66832080384 ≈ 1867.32
Therefore, the closest provided value is 1867, which means that the correct answer is 1867 visitors after 8 years.