The population of fruit flies in a lab was about 2.7 million in January 2020. On average, the growth rate per month for fruit flies was 1.020. a. Find a formula that gives the fruit fly population, F, in millions, as an exponential function of t. b. According to this model, when did the fruit fly population reach 3 million. (Round your answer to nearest month.) Explain your answer.

Q: A population numbers 1,650 organisms initially and increases by 6.8% each year. Suppose P represents…

A: The general form of exponential model is, P=P01+rt where, P0 is initial amount, r is rate of growth,…

Q: A population of squirrels grows exponentially at a rate of 4.2 percent per year. The population was…

A:

Q: The population of Gibsonville in the year 1930 was 3100. Assume the population increased at the rate…

A:

Q: Can you please show me every step.  The population of the world was 5.28 billion in 1990 and 6.07…

A: A. Consider the standard exponential form for the population growth.

Q: Based on the scatterplot and computer output, a reasonable estimate for the stock price for week 95…

A: Given: An exponential model is created for estimating the stock price based on the number of weeks…

Q: A population of anir

A: Given, the population of animals is growing exponentially. An ecologist first recorded the number of…

Q: The current student population of Dallas is 1500. If the population increase at a rate of 11% each…

A: It is given that the present students are 1500(P). The rate of growth(R) is 11%.

Q: A popular social media platform has begun offering stock shares to the public. In the past 2 years,…

A: Here, given that the data is exponentially distributed. The exponential model is given by, y= a*bx…

Q: The current student population of New Orleans is 1900. If the population increase at a rate of 13%…

A:

Q: The population of the world was 5.28 billion in 1990 and 6.07 billion in 2000. Find an exponential…

A: Let the model be Pt=P0.ekt→(1) Consider t=0 as 1990 P0 is the population when t=0, Therefore,…

Q: A population of 15,000 small deer in aspecific region has grown exponentially to 17,000 in 4 years.…

A: We know that exponential equation to express the population growth is, y=y0ekt Where y0 is initial…

Q: A population numbers 20,000 organisms initially and decreases by 3% each year. Suppose P represents…

A: We can find the exponential model in the following steps.

Q: The sample of a bacteria is growing exponentially. The initial sample is 1.7 grams. At t = 2 days…

A: given bacteria is growing exponrntiallygiven initial population is 1.7 grams at t=2, sample is 2.8…

Q: how many paramecia can you expect after 7 weeks?

A: Here use basic of exponential forecasting

Q: The current student population of New York City is 2300. If the population increase at a rate of 19%…

A: given data  initial current population (a) = 2300 population increase rate : 19% each year (∴ growth…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.