Question

Given the function 50 0.1t, write the function in continuous growth form y = aekt

Round your answer to four decimal places.

Answer 1

y = 50e^(0.1t)

Explanation:

This represents an exponential growth function. It models a quantity that increases or decreases by a constant factor over equal intervals of time. At any time t, the value of the function is given by 50e^(0.1t).

At time t=0, the value of the function is 50. As time increases, the value of the function increases exponentially at a rate of 0.1. For example, at time t=1, the value of the function is 50e^(0.1) = 63.1. At time t=2, the value of the function is 50e^(0.2) = 79.4, and so on.