Question

A population of bacteria increases by 30 every hour. Is this situation linear or exponential? A. Exponential, because the function grows by a common factor B. Exponential, because the function decreases C. Linear, because the function decreases D. Linear, because the function increases by a constant amount

Answer 1

Answer:

The correct option is D.

Step-by-step explanation:

In a linear function the rate of change is constant. It means either the function increase by a constant rate or function decrease by a constant rate.

In an exponential function the rate of change is not constant.

It is given that the population of bacteria increases by 30 every hour.

Since the population of bacteria increases by a constant rate therefore the population function is linear and it is defined as

$P(t)=P_0+30t$

Where P₀ is initial population and t is time in hours.

Therefore correct option is D.