A ball is thrown into a lake creating a circular ripple with

A ball is thrown into a lake, creating a circular ripple with a radius that increases at a speed of 5 centimeters per second. Express the area. A, (measured in square centimeters) of the circle in terms of the time, t, (measured in seconds) since the ball hit the lake. A = pi t^2 A = 5 pi t^2 A = 25 pi t^2 A = 25 pi t A = 5 pi t Katie swims at a constant rate of 42 meters per minute as she swims laps in a pool. Which of the following describes a varying quantity in this situation? The speed Katie swam in meters per hour since she started swimming The number of breaths Katie took during her first lap The amount of time elapsed in minutes since Katie began swimming The amount of time it took Katie to swim one lap None of the above Suppose T is a function that has an inverse function. If T^-1 (24) = -1, which of the following statements is true? Inputting 24 to T produces an output value of-1 Inputting -1 to T produces an output value of 24 Inputting 24 to T^-1 produces an output value of -1 Inputting -1 to T^-1produces an output value of 24 I only I & IV II only II & III III only

Solution

11.
radius varies with time because when time increases radius is increasing of ripple
r=5t
Area=*r^2
Area=*(5t)^2
Area=25t^2

so our option c is correct