the function P represent the population P(d), in thousands, of a colony of insects d days after first being measured. A model for P is P(d) = 10 • (1.04)ௗ

yevanemm000

yevanemm000

Answered question

2021-06-10

the function P represent the population P(d), in thousands, of a colony of insects d days after first being measured. A model for P is P(d)=10(1.08)d

a) There were 1,080 Insects when the colony was first counted.

b) One week after the colony was first counted, there were 10,800 insects.

c) The growth factor per day is 1.08

d)  The growth factor per week is 1.807

e) The growth factor per hour is 1.08134

 

Answer & Explanation

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-19Added 2605 answers

a) When the colony was first counted, d=0

Thus, P=10×1.080×103=1000 insects.

So this is incorrect.

b) One week after counting, d=7

Thus, P=10×1.087=17.138 thousands insects or 17138 insects.

So, Option B incorrect.

c) Clearly the growth factor per day is 1.08.

So, this is correct.

d) The growth factor per week  =1.087 .

So, the given option is incorrect.

e) For one hour, d=124 day

So, the growth factor per hour =1.08124

So, this is correct.

Only Options (c) and (e) are correct.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?