Q:

On a camping trip with friends, you read about mosquito activity after dark. The number of mosquitos in your campground can be modeled using the function g(x) = x4 + 6x2 + 2x − 11, where x is the number of hours after sunset. You go out to build a campfire 3 hours after sunset. How many mosquitos are in your campground?A) 0B) 54C) 66D) 130

Accepted Solution

A:
Answer:There are 130 mosquitoes in your campground ⇒ answer DStep-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