Question

1. Copy and Complete: The functions m(x) and p(x) each represent

the population of two different kinds of bacteria, where x is the
time in hours and h(x) and p(x) are the number of bacteria in
thousands.
Bacteria A: m(x) = 42x
Bacteria B: p(x) = 8x
Part A: Between the first and fourth hour, which bacteria had a
faster rate of growth? Explain how you determined your answer.
Part B: Explain whether or not the population of p(x) will ever
exceed the population of m(x).

Answer 1

a) Bacterial 1 had a faster rate of growth.

(b) The population of f(x) always exceed the population of g(x). In other words, population of g(x) cannot exceed the population of f(x).

Explanation:

a) Bacterial 1 had a faster rate of growth.

(b) The population of f(x) always exceed the population of g(x). In other words, population of g(x) cannot exceed the population of f(x).