A newspaper headline states that “The rate of growth of the national deficit is decreasing.” What does this mean? What does it imply about the graph of the deficit as a function of time?

2. The population of a town is decreasing at a rate of 1.8%/a. The current popula- tion of the town is 12 000. a. Write an equation that models the population of the town. b. Find the instantaneous rate of change in the population 10 years from now. c. Determine the instantaneous rate of change when the population is half its current population.

Give two pieces of information that may be used to formulate an exponential growth or decay function.

13. In the year 1990, kids everywhere collected Beanie Babies. There was such a demand that these critters skyrocketed in value. Katie bought a Beanie Baby for $10.00. The stuffed animals' value increased at a rate of 7% per year. a) Write an exponential growth model for the value of the Beanie Baby in terms of the number of years since the purchase. b) What was the value of the Beanie Baby after 2 years? c) How much is it worth today? d) How long did it take for Katie to double her original investment?

Your favorite 20 ounce coffee drink from Starbucks contains about 400 mg of caffeine. As soon as you start drinking the coffee, your organs start breaking down the caffeine in your bloodstream and eliminating it from your body. According to Medical News Today, caffeine has a half-life in the body of about 4.5 hours.  a) Use the half life of caffeine to find the continuous rate of decay for a function modeling how much caffeine is left in your body t hours after you drink your coffee. Express your answer as a percentage and round your answer to 2 decimal places. The continuous rate of decay for this situation is _____% b) After you drink your coffee, how long will it be until the amount of caffeine in your bloodstream is down to 100 mg?  _______hours c) How long will it be until the amount of caffeine in your bloodstream is down below 10 mg?  ________hours

A principal amount of $375 is placed in a savings account that earns 8% annual simple interest. Which graph best models the growth of the account balance.

17 sc

What shape best describes the graph of an exponential model? A. Straight line that is decreasing in value. B. A curve that starts rapidly but then grows slowly. C. A straight line that is increasing in value. D. A curve that starts slowly but then grows rapidly.