Chapter 9.3, Problem 26E

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

_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…

The population of a small town is currently 800 people, and the population is increasing at a rate of 5 percent per year. You want to create a function in the form P = after x years. a(b)" to find the population, P, What is the value of a, the town's initial population? What is the value of b, the growth or decay factor (base)? What equation models the town's population after x years? P =