Question

The function below models a leap by your pet rabbit, which of the following would be an appropriate coefficient, c, for the x^2 term? y=cd^2 0.6, where x and y are in feet

a) 0.6
b) c
c) d
d) 2

Answer 1

The coefficient c for the x^2 term that would model a rabbit's leap in the equation y = cx^2 + 0.6 is a) 0.6 , as it is the only numerical option provided.

Step-by-step explanation:

The function provided is a model for the leap of a pet rabbit, written as y = cx2 + 0.6. The coefficient c for the x2 term affects the shape of the parabolic trajectory of the rabbit's leap. If the coefficient is too large, the parabola gets narrower, and the leap seems unnaturally steep.

Conversely, if the coefficient is too small, the parabola widens, and the leap lacks height. Considering the options provided, only one of them, a) 0.6, is a numerical coefficient which would be appropriate to quantify the level of curvature for such a trajectory equation in the context given, where both x and y are measured in feet.