Chapter 9.3, Problem 18E

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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 =

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 }

Use exponential regression to find the value of y when x = 50. Round your answer to the nearest whole number. 5 10 15 20 25 30 35 y 212 223 235 249 263 280 306

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In Exercises 27 and 28, the graph of an exponential function with base a is given. Follow the directions in parts (a)-(f) in each exercise. 27. y f(x)=a" (1, a) (0, 1) (a) Is a > 1 or is 0 < a < 1? (b) Give the domain and range of f. (c) Sketch the graph of g(x) = -a. (d) Give the domain and range of g. (e) Sketch the graph of h(x) = a. (f) Give the domain and range of h.

1. Graph f(x) = log2 × carefully. your work.) %3D 10 -10 -5 10 -5- -10

A radioactive material loses mass according to the exponential relation y = 170 n (3) 28 where y is measured in grams and n is the number of days. Determine the amount of material remaining after 29 days.

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.