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REY [17]
3 years ago
10

the population of a town increases at a rate proportional to its population with an initial population of 1000. The corect initi

al value problem for the population p(t) as a function of time is
Mathematics
1 answer:
anyanavicka [17]3 years ago
5 0

Answer:

This means that the correct initial value problem for the population p(t) as a function of time is is P(0) = 1000

Step-by-step explanation:

The population of a town increases at a rate proportional to its population:

This means that this situation is modeled by the following differential equation:

\frac{dP}{dt} = kP

In which k is the growth rate.

By separation of variables, the solution is given by:

P(t) = P(0)e^{kt}

In which P(0) is the initial population.

Initial population of 1000.

This means that the correct initial value problem for the population p(t) as a function of time is is P(0) = 1000

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"Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed..." Ryan had a head start of 10 meters.

This is further explained below.

<h3>Who had a head start, and how big was the head start?</h3>

Generally,  To help low-income children and their families, the United States government funds a program called Head Start, which offers a variety of services including early childhood education, health care, nutrition education, and parent engagement.

In conclusion,  who had a head start, and how big the head start was is; Ryan had a head start of 10 meters.

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