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EXPONENTIAL FUNCTIONS WORD. PROBLEMS WORKSHEET (WITH ANSWERS) 1. The population of a small town can be modelled by the exponential function. P(t) = 5000(1.02) , where t represents the number of years since the current population count. a) In the equation provided, what does 5000 represent? What does 1.02 represent?

4. The formula for exponential decay is y = a(1 r)t, where a is the initial amount, r is the rate of decay and t is the number of intervals. Use the formula to determine the answer to the following problem. On Wednesday, your science teacher gives you a list of twenty- ve terms to be memorized. You memorize all of

2) (d) Graph the function from #1 using an appropriate scale. by the formula shown, where P(t) is the total population after t days. 12 hours, 1 day, 1 days, and. 2 days later. (b) Do the outputs show the population is tripling every 24 hours (1 day?) (c) Explain why this is an increasing function. a board using a fair spinner are fairly common.

Exponential Word Problems 1. Helen invests $10,000 in a high-yield uninsured certi cate of deposit that pays 12% interest annually, compounded every 6 months. (a) Find a formula for the amount A of the certi cate after t years. (b) What is the amount after 3 years? (c) How long will it take for her investment to grow up to $25,000? 2.

This set of worksheets contains introductory lessons, step-by-step solutions to sample problems, and a variety of different practice problems, a review, and a quiz. When finished with this set of worksheets, students will be able to solve word problems involving exponents.

There are four variables, the initial amount, y0, the time t, the growth factor k, and the current amount y: You should be comfortable with nding any one of these four, given the other three. You should also try to understand how changing any one of these a ects the others.

Exponential Function Word Problems Exponential Model Compound Interest Continually Compounded Interest 1. Paul invests $6500 in an account with a 3.2% annual interest rate, compounded continuously. How long will it take for his balance to reach $11,000? 2. Sara invests $3000 in an account with a 10% annual interest rate, compounded monthly.

The document contains a worksheet with exponential functions word problems and their answers. It includes problems related to population growth, bouncing balls, radioactive decay, bank interest, depreciation of a laptop, and bacterial growth. Each problem is followed by specific questions and their corresponding solutions.

2.2 Exponential Word Problems . 1. The population of wolves in a forest is increasing at a rate of 2.5% per year. The initial population is 240 wolves. a) Write an exponential function that relates the population and the time, in years, from now. b) What will be the population in 6 years? c) In how many years will the population double? 2.

Exponential Word Problems (Day 2, Exponentials) In this handout, we will continue our study of exponential word problems. 1. Tanya currently has $4000 in her bank account. The amount of money in her bank account grows at 2.3% per year. Note: Answers are …