Chapter 9.3, Problem 5E

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 table shows the mid-year populations (in millions) of five countries in 2015 and the projected populations (in millions) for the year 2025. (a) Find the exponential growth or decay model y=aebt or y=aebt for the population of each country by letting t=15 correspond to 2015. Use the model to predict the population of each country in 2035. (b) You can see that the populations of the United States and the United Kingdom are growing at different rates. What constant in the equation y=aebt gives the growth rate? Discuss the relationship between the different growth rates and the magnitude of the constant.

8. Which option best describes the behaviour of the exponential function f(x) = 4(1) y = e A. increasing because a > 1 B decreasing because 0 1 C. D. decreasing because 0 < b <1 Decreasing }

Geometric means A quantity grows exponentially according to y(t) = Yoe". What is the relationship among m, n, and p such that y(p) = Vy(m)y(n)?

-2Fonslowcountyscho The average value of gold per ounce over time is modeled by V(†) = 45†+ 279, where t = time in years since 2000. According to this function, how many years will it take for the gold to be worth $639?

2) An initial investment of $10,000 grows at 11% per year. What function represents the value of the investment after t years? R) - 10,000(1.11) R) - 10,000(1.11) - 10,000(11)' A) – 10,000(0.11)' a. c. b. d.

_1 Which of the following is an exponential function? а) у - х b) f(x) = x² c) y = 22 d) f(x) = 2* _2 What does it imply when the graph of f(x) = a* is asymptotic to x axis? a) The graph's trend increases to the left of the y – axis. b) The graph's trend decreases to the left of the y – axis. c) The graph's trend decreases to the right of the y – axis. d) The graph's trend can either be that of a growth or decay function. _3 What will be the behavior of the graph of an exponential function if the y intercept is at (0, 2)? a) The graph follows an exponential growth. b) The graph follows an exponential decay. 4 The formula for the Richter rating of a quake is given by R - logQ. You have a seismograph set up at home and see that there was an event while you were out that had an intensity of Q = 989. A Richter rating of 4 or more means a moderate quake occurred. Which of the following is TRUĚ given the situation? a) The intensity of 989 is the result of a strong quake. b) The intensity of…

An initial population of 80 fish is introduced into a lake. This fish population grows according to a continuous exponential growth model. There are 216 fish in the lake after 11 years. (a) Letr be the time (in years) since the initial population is introduced, and let y be the number of fish at time. Write a formula relating y to f Use exact expressions to fill in the missing parts of the formula. Do not use approximations, (b) How many fish are there 13 years after the initial population is introduced? Do not round any intermediate computations, and round your answer to the nearest whole number. fish X Cind 3 1 EBOO

question is in the pic!