Answer:
Equation: y=4√x
Step-by-step explanation:
This is a square-root function, specifically y = 4√x. As the input increases, the output also increases. It can also be written in exponent form, y = 4 * x^(1/2). The curve gets closer and closer to horizontal as the input increases, although it never does. The inverse of this function is y = (1/16)x², a quadratic, you can imagine y = 4√x being a reflection of y = (1/16)x² across the line y=x.
A. One relationship the function possibly models is the relationship between velocity and braking time. Imagine this situation: A function for the distance (in meters) at which a car need to stop is given by D = 4 √v where v (in meters per second) is the speed of car before braking.
B. At the beginning, when v = 0, your car is at rest, so D also = 0. At v = 9m/s, you need 12 meters to stop completely. At v = 100, you need 40 meters to stop completely.
I'm not sure if I answered your question. Hope I helped!
