Question

In Stephen King’s short story collection “Skeleton Crew” there is a story called “The Raft”. In this story, four college friends swim out to a raft in an isolated lake. Upon reaching the raft they discover a circular, black substance (much like an oil slick) floating in the water. They soon learn that the substance eats anything swimming in the lake and will not let them leave the raft. When they first discover the circular substance, it has a radius of only 1/2 foot. Every minute that passes, the radius
grows by 2 inches.
a. [2 pts] Create a linear function which gives the radius of the circle in inches after t minutes. Call this function ().
b. [2 pts] Knowing that the Area of a circle is = x^{2}, use composition of functions to represent the Area of the circular substance in square inches after minutes. Call this function ().
c. [2 pts] Use your answer to part b to find the area of the circular substance after a half hour has passed. Round your final answer to the nearest whole number and include appropriate units.

Answer 1

Answer:

A) r=2t

B) 4$\pi$t²

C) 4$\pi$(30)² which will end up being 11310 in²

Step-by-step explanation:

A) If it increases 2 inches every minute, you would take that and put it with the t, aka time.

B) A=$\pi$r² which will translate into A=$\pi$(2)²

C) You take the half-hour, which is 30 minutes, and translate that into t then place that into your calculator and get an answer of 11,309.73 and then round up to the whole number