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

Option C.

Step-by-step 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.

9

step-by-step explanation:

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|