Question

please remember to submit your workbook. modeling motion with quadratic functions which scenario would be best modeled by a quadratic function? the path of a plane traveling from kansas city to washington, dc the equation for radioactive decay, a = a₀·(12)/t the population of bacteria growing in a petri dish in a high school biology class the population of elk in yellowstone national park after all the wolves have disappeared

Explanation:

A quadratic function is of the form $y = ax^{2}+bx + c$. The path of a projectile (under the influence of gravity near - Earth's surface) can be modeled by a quadratic function. A plane's path is usually a straight - line (approximate great - circle route for long - distance travel), radioactive decay follows an exponential function $A = A_{0}e^{-\lambda t}$ (the given formula $A = A_{0}\cdot(12)/t$ is incorrect for decay but decay is exponential in nature), bacteria growth can be modeled by exponential or logistic functions in simple cases, and elk population growth can also be modeled by logistic functions. The motion of a projectile like a ball thrown in the air or the path of a rocket (in a simple model) is quadratic. Since a plane's motion is not quadratic, radioactive decay and population growth are not quadratic in the given scenarios, there is no correct option among the provided ones if we consider typical real - world models. But if we assume a simple case of an object in free - fall (which is a type of motion), we can say that the motion of an object under the influence of gravity near Earth's surface (not given as an option here) is quadratic. However, if we have to choose from the given options, none of them are typically modeled by quadratic functions.

Answer:

None of the above