Consider a population whose growth over a given time period can be described by the exponential model: dn/dt = rn. select the correct statement about this population. a. a population with an r of 0.1 will decrease over time. b. a population with an r of 0 will have no births or deaths during the time period under consideration. c. a population with a positive value of r will grow exponentially.

b and c

Step-by-step explanation:

We are given that a population whose growth over a given time period can be described by the exponential model

Let initial population = when time t=0

After integrating

We get ln N=rt +C

Where C is integration constant

When t=0 then N=

Substitute the value of C then we get

When r=0.1 then we get

Hence, the population increase not decrease.

When r= 0

Then we get

Hence, the population do not increase or decrease.

So, a population with r of 0 will have no births or deaths during the time period under consideration.

If we take a positive value of r then the population will increase exponentially .

Hence, option b and c are both correct.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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