Answer:
There are 130 mosquitoes in your campground ⇒ answer D
Step-by-step explanation:
* Lets explain how to solve the problem
- The number of mosquitoes in the campground can be modeled
using the function g(x) = x^4 + 6x² + 2x − 11
- The number of hours after sunset is x
- You go out to build a campfire 3 hours after sunset
- To find the number of mosquitoes substitute x by 3
* Lets solve the problem
∵ g(x) represents the number of mosquitoes in the campground
∵ g(x) = x^4 + 6x² + 2x - 11
∵ x is the number of hours after the sunset
∵ You want to know the number of mosquitoes after 3 hours
from the sunset
- Substitute x by 3 in g(x)
∴ g(3) = (3)^4 + 6(3)² + 2(3) - 11
∴ g(3) = 81 + 6(9) + 6 -11
∴ g(3) = 81 + 54 + 6 - 11
∴ g(3) = 130
∴ The number of mosquitoes after 3 hours from sunset is 130
* There are 130 mosquitoes in your campground
Answer: D) 130
Step-by-step explanation:
Given : The number of mosquitoes in your campground can be modeled using the function [tex]g(x) = x^4 + 6x^2 + 2x -11[/tex] , where x is the number of hours after sunset.
For x= 3
The number of mosquitoes in your campground 3 hours after sunset ,will be
[tex]g(3) = (3)^4 + 6(3)^2 + 2(3) -11[/tex]
Simplify ,
[tex]g(3) =81 + 6(9) + 6-11[/tex]
[tex]\Rightarrow\ g(3) =81 + 54 -5=130[/tex]
Therefore, there are 130 mosquitoes in your campground .
Hence, the correct options is D) 130
