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

If $9,451 is invested at 4.5%, how much more would you have after 18 years if the interest was compounded continuously compared to compounded quarterly?

What is the growth factor for an object whose mass increases by 22.7% every 3 years?

Choose the function that best matches the description: When x is 0, y is 2, and when x increases 1 unit, y is multiplied by 1.74

Suppose a town's population grows from 25,000 to 290,000 over 6 years. Choose the annual growth factor. Round answers to 2 decimal places.

An outbreak of a flu virus begins with 4 people infected and the number of people infected increases by a factor of 2 each week. A) Find a formula that gives the number of people infected, I, as a function of the weeks, w, since the outbreak began. B) Use this formula to find the number of people infected after 10 weeks.

Create the formula for the graph.

Consider: F(x) = 28.8 - 0.22x G(x) = 28.8 (0.22)^x Compare f(0) to g(0).

Match the function with its graph:

For an exponential function, where x is measured in months and and Find A) the 4-month growth factor and B) the monthly growth factor. Round answers to 2 decimal places.

Given the functions: F(x) = 9 (11.9)^x G(x) = 55 + 0.85x H(x) = 92 (0.96)^x K(x) = 35.7 - 4.7x As , which function(s) approach ? Select all that apply.

Given the functions: F(x) = 94 (9.7)^x G(x) = 4 + 0.19x H(x) = 73 (0.91)^x K(x) = 40.3 - 9.5x As , which function(s) approach ? Select all that apply.

What is the decay factor for a business whose profit decreases by 30.5% every 3 years?

Fill in the blank:

Which of the following is a semi-log plot of the function

Write an equation in the form for an exponential function with initial value 46 and growth factor 1.9.

Choose the function that best matches the description: When x is 0, y is 5.5, and when x increases 1 unit, y increases 1.42 units

For the exponential function given, identify A) the initial value and B) the growth (or decay) rate. Enter the growth (or decay) rate as a positive number in percentage form.

Alice invests $9,000 in an account offering 5.5% interest compounded continuously. A) Find the value of the account after 5 years. Round your answer to the nearest cent. B) How many years until the account value reaches $23,000? Round your answer to the nearest year.

Write an equation in the form for an exponential function with initial value 3,700 and growth factor 1.9.

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