Exam 5: Growth and Decay: An Introduction to Exponential Functions

Determine whether the function models continuous growth or decay.

In 2000, a town's population was 35,000. In 2010, the population had increased to 100,000. If the town continues to grow at the same rate (Assuming exponential growth), what will its population be in 2020? Round your answer to the nearest thousand.

If $6,775 is invested at 4.5%, how much more would you have after 19 years if the interest was compounded continuously compared to compounded monthly?

Higher education enrollment in Kentucky for the years from 1985 through 1992 is displayed in the following table. Complete the sentence: Between 1985 and 1990, the enrollment increased by A)___________ thousand students which is a B)___________ percent increase over the 5 years. Round answers to 2 decimal places if necessary.

Below are functions that give the population, P, in year, t, for four towns. Choose the function for the town that has the smallest growth factor.

For the exponential function given, identify A) the initial value and B) the growth or decay factor.

In an effort to control Johne's disease in dairy cattle, the state of Minnesota set a goal to reduce the number of cattle with the disease from 15,015 in 1990 to 1,629 in by the year 2000. A) Assuming a linear model, what would the average rate of change be per year? B) Assuming an exponential model, what would be the decay factor needed? Round answers to 3 decimal places if necessary.

Stacey is waiting for the ice on the lake to become thick enough to go ice fishing. At the current temperature, the thickness of the ice is increasing by 1.5% per hour. How long will it take for the ice to double in thickness? Use the rule of 70 and round to the nearest hour.

Write a function in the form for an exponential function where and for every unit increase in x, the output is multiplied by 1.8.

Given the functions: Which functions are mirror images of each other across the y-axis? Select all that apply.

Choose the graph that best fits the description of an exponential function, with C= and a=

Write an equation for an exponential function (in the form ) that satisfies these two points: and Round values to 2 decimal places.

Suppose an investment grows from 9,000 to 48,000 over 9 years. Choose the annual growth factor. Round answers to 2 decimal places.

Determine the doubling time for money invested at 5.9% interest compounded continuously. Round the answer to the nearest tenth of a year.

Graph the function over the interval

Which interest rate will approximately double your money in 18 years?

Determine whether the function represents exponential growth or decay.

Which equation in the form for an exponential function has initial value, 230,000, and growth factor, 1.2?

Determine whether the function represents exponential growth or decay.

The graph below shows the net worth of JamiTess, Inc. by the number of years since its inception. What was the value of the company in year 7?