As time, t, passes, the concentration of organisms in a seawater sample is modeled by the function:

C (t) = 0.80 (1.2) ^t

Which of the following statements is supported by the behavior of C (t) ?

According to C (t), the concentration of organisms will decrease over time.

According to c (t), the concentration of organisms will remain the same

No generalizations can be made because c (t) will both increases and decreases

over time According to C (t), the concentration of organisms will increase over time.

Question

Heath Vance

Mathematics

9 March, 01:21

As time, t, passes, the concentration of organisms in a seawater sample is modeled by the function:

C (t) = 0.80 (1.2) ^t

Which of the following statements is supported by the behavior of C (t) ?

According to C (t), the concentration of organisms will decrease over time.

According to c (t), the concentration of organisms will remain the same

No generalizations can be made because c (t) will both increases and decreases

over time According to C (t), the concentration of organisms will increase over time.

+2

Answers (1)

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Gisselle Hart · Answer 1

According to C (t), the concentration of organisms will increase over time.

The growth rate is 20% as indicated by 1.2

Exponential functions of the form y = a (b) ^c are always increasing or always decreasing