Question

4. A biologist studied the populations of black bear and brown bears over a 10-year period. The biologist modeled the populations, in thousands, with the following polynomials where x is time, in years. black bears: 2.3x2 – 5.6x + 2.3 brown bears: 2.4x2 + 7.2x + 0.97 What polynomial models the total number of brown and black bears? (1 point)

4.7x2 + 1.6x + 3.27
4.7x2 – 1.6x – 3.37
4.7x2 + 1.6x – 3.37
4.7x2 – 1.6x + 3.37

Answer 1

I don't know if i'm 100% right but My choice would be c.

Answer 2

The modeled of total population of bear is
`h(x)=4.7x^2+1.6x+3.27`

A is correct.

Explanation:

A biologist studied the populations of black bear and brown bears over a 10-year period.

Modeled the population of Black Bear:

`f(x)=2.3x^2-5.6x+2.3`

Modeled the population of Brown Bear:

`g(x)=2.4x^2+7.2x+0.97`

We need to find the population modeled of the total number of brown and black bear.

Total population of bear modeled by h(x)

`h(x)=f(x)+g(x)`

`h(x)=2.3x^2-5.6x+2.3+2.4x^2+7.2x+0.97`

Combine the like term

`h(x)=4.7x^2+1.6x+3.27`

Hence, The modeled of total population of bear is
`h(x)=4.7x^2+1.6x+3.27`