Consider two functions, and , that model the growth of two different quantities over time . The function represents exponential growth, where and . The function represents linear growth, where and . If , which of the following statements must be true for sufficiently large values of ?
will always be less than .
The rate of change of will always be less than the rate of change of .
will eventually be greater than , and its rate of change will eventually be greater than the rate of change of .
will eventually be greater than , and its rate of change will eventually be greater than the rate of change of .
