a population is growing at a rate of 2, 4, 8, 16, 32. which type of growth does this describe?\nlinear\nlogis…

a population is growing at a rate of 2, 4, 8, 16, 32. which type of growth does this describe?\nlinear\nlogistic\nexponential\nnegative

a population is growing at a rate of 2, 4, 8, 16, 32. which type of growth does this describe?\nlinear\nlogistic\nexponential\nnegative

Answer

Answer:

C. exponential

Explanation:

Step1: Analyze the sequence

The sequence is 2, 4, 8, 16, 32. Each term is obtained by multiplying the previous term by 2.

Step2: Recall growth - type characteristics

In linear growth, the difference between consecutive terms is constant. In logistic growth, there is an upper - bound and a sigmoid - shaped curve. In exponential growth, the ratio between consecutive terms is constant. In negative growth, the values decrease.

Step3: Determine the growth type

Since the ratio of consecutive terms (e.g., $\frac{4}{2}=2$, $\frac{8}{4}=2$, $\frac{16}{8}=2$, $\frac{32}{16}=2$) is constant, this is exponential growth.