solve 22. If f(0)= 20, and f(1)=25, find a linear model and an exponential model for f(x).The price of a home in Branford was $75,000 in 1985 and rose to $175,000 in 2005.23. Create two models, f(t) assuming linear growth and g(t) assuming exponential growth,where t = number of years after 1985.

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Answered: 22. If f(0)= 20, and f(1)=25, find a…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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Similar questions

Does the equation y=2.294e0.654t representcontinuous growth, continuous decay, or neither?Explain.
What is the y -intercept on the graph of the logistic model given in the previous exercise?
Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?
Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds. Growth has slowed to a doubling time of approximately three years. Find the new function that takes that longer doubling time into account.
Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
The average gain in life expectancy at birth in the US has remained almost constant for 150 years, at an increase of 3 months in life expectancy per year.Assume that this rate of increase continues. Life expectancy in the US in 2017 was 79.1 years.1 (a) Is life expectancy increasing linearly or exponentially? linearly exponentially (b) Find a formula for life expectancy, L, in years, in the US at birth as a function of the number of years t since 2000. L= (c) What is the predicted life expectancy for babies born in 2059?Round your answer to two decimal places. The predicted life expectancy for babies born in 2059 is years.
1. A drug's effectiveness decreases over time. If each hour, a drug is only 90% as effective as during the previous hour, at some point the patient will not be receiving enough medication and will need another dose. This can be modeled by the exponential function y= y,(0.90). In this equation y, is the amount of the %3D initial dose, and y is the amount of the medication still available "t" hours after the drug was administered. Suppose the initial dose was 200 mg. How long will it take for this initial dose to reach the dangerously low level of 50 mg? Solve this problem algebraically, not with a graph or by plugging and checking.
. A contagious disease is spreading in a town of 10,000 people. There were 200 infectedpeople when the outbreak was discovered, and the number grew up to 1,000 after one month.Assuming the logistic model for the spread of the disease, find the number of infected peoplethree months after the outbreak.

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