Question

Use the growth model P= 208^0.008t describes the population of the United States, in millions, t...

Use the growth model P= 208^0.008t describes the population of the United States, in millions, t years after 1970. Use this answer to the following questions.

What was the population in 1970?

What will the population be in the year 2003?

When will the population be 500 million?

When will it be a billion?

Math   Precalculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The population of a country is growing exponentially. The population in millions was 90 in 1970...
The population of a country is growing exponentially. The population in millions was 90 in 1970 and 140 in 1980. A. What is the population t years after 1970? B. How long does it take the population to double? C. When will the population be 400 million?
Exponential Model: P(t) = M(1 − e^−kt) where M is maximum population. Logistic Model: P (t)...
Exponential Model: P(t) = M(1 − e^−kt) where M is maximum population. Logistic Model: P (t) = M / 1+Be^−MKt where M is maximum population. Scientists study a fruit fly population in the lab. They estimate that their container can hold a maximum of 500 flies. Seven days after they start their experiment, they count 250 flies. 1. (a) Use the exponential model to find a function P(t) for the number of flies t days after the start of the...
According to the United States Census Bureau the population of Utah was 2.12 million people in...
According to the United States Census Bureau the population of Utah was 2.12 million people in 1997 and 2.53 million people 9 years later in 2006. Use an explicit exponential model to calculate the rate of growth of the population over this time period. Express the rate of growth as a percentage. Round to the nearest hundredth. r=
The function ?(?) = 20t/(16+ ?^2) describes the population P (in millions) of infectious bacteria in...
The function ?(?) = 20t/(16+ ?^2) describes the population P (in millions) of infectious bacteria in the world t months after its first appearance. a) Determine the number of months (after the appearance of the bacteria) the population of bacteria will be at its maximum. ______________________ What is the value of that maximum ? _________________ b) Provide a valid mathematical reasoning to support that over time, the infectious bacteria will only decrease to zero.
The population of the world was about 5.3 billion in 1990 (t = 0) and about...
The population of the world was about 5.3 billion in 1990 (t = 0) and about 6.1 billion in 2000 (t = 10). Assuming that the carrying capacity for the world population is 50 billion, the logistic differential equation dP =kP(50−P)dt models the population of the world P(t) (measured in billions), where t is the number of years after 1990. Solve this differential equation for P(t) and use this solution to predict what the population will be in 2050 according...
The population of a region is growing exponentially. There were 35 million people in 1980 (when...
The population of a region is growing exponentially. There were 35 million people in 1980 (when t=0) and 70 million people in 1990. Find an exponential model for the population (in millions of people) at any time t, in years after 1980. P(t)= What population do you predict for the year 2000? Predicted population in the year 2000 = million people. What is the doubling time? Doubling time = years.
The U.S. census lists the population of the United States as 227 million in 1980, 249...
The U.S. census lists the population of the United States as 227 million in 1980, 249 million in 1990, and 281 million in 2000. Fit a second-degree polynomial passing through these three points and use it to predict the population in 2014 and in 2018.† (Round your answers to the nearest million.) STEP 1: Let x represent the year. Write a polynomial in t where t = x – 1990. p(t) = STEP 2: Substitute the appropriate values of t...
The population of a region is growing exponentially. There were 20 million people in 1980 (when...
The population of a region is growing exponentially. There were 20 million people in 1980 (when t=0) and 70 million people in 1990. Find an exponential model for the population (in millions of people) at any time tt, in years after 1980. P(t)= What population do you predict for the year 2000? Predicted population in the year 2000 = million people. What is the doubling time? Doubling time = years.
It appears that over the past 50 years, the number of farms in the United States...
It appears that over the past 50 years, the number of farms in the United States declined while the average size of farms increased. The following data provided by the U.S. Department of Agriculture show five-year interval data for U.S. farms. Use these data to develop the equation of a regression line to predict the average size of a farm   by the number of farms  Discuss the slope and y-intercept of the model. Year Number of Farms (millions) Average Size (acres)...
a. Develop the model that represents the population of Chicago b. predict the population in 2019...
a. Develop the model that represents the population of Chicago b. predict the population in 2019 c. predict the population in 2024 d. predict when the population will be double its 2011 population Relates to this question: Exercise 5-12 deal with data from the U.S. Bureau of the Census on populations of major cities. These data allow us to find how fast the population is growing and when it will reach certain levels. Such calculations are very important, because they...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT