Question

Please help!! Local wildlife experts have begun to track the population of trout in their area. The function f represents the approximate population of trout in Sky Lake, and the function g represents the approximate population of trout in Lake Cyan, where t is the number of months since experts began tracking the populations.

f(t) = 1.5t + 50

g(t) = 0.1t^2 - 4t + 70


Find the expression that describes the total trout population in the area after t months, f(t) + g(t).


A. 0.1t^2 + 5.5t +120


B. 0.1t^2 - 5.5t +120


C. 0.1t^2 - 2.5t + 120


D. 0.1t^2 + 2.5t + 120

Answer 1

Option C.

Explanation:

We know that

f(t) = 1.5t + 50

represents the approximate population of trout in Sky Lake

And

g(t) = 0.1t^2 - 4t + 70

represents the approximate population of trout in Lake Cyan

The total trout population in the area is described as

f(t) + g(t)

f(t) + g(t) = [1.5t + 50] + [0.1t^2 - 4t + 70]

f(t) + g(t) = [1.5t + 50+ 0.1t^2 - 4t + 70]

f(t) + g(t) = [0.1t^2 -2.5t + 120]

f(t) + g(t) = 0.1t^2 -2.5t + 120

Option C.