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

Write an equation for a function that satisfies these two points: and assuming that it is A) a linear function, in the form and B) an exponential function in the form . Round values to 2 decimal places.

Find the formula of the given exponential function. Give your answer in form. Round values to 2 decimal places.

When an event happens in a community, news travels fast. A) Assuming 2 people initially know the news and the number of people who hear the news increases by a factor of 2.8 each hour, find a formula that gives the number of people who hear the news, N, as a function of the hours, h, since the event happened. B) Estimate how long, to the nearest hour, it will take for 120 people to hear the news.

Which of the following functions would appear as a straight line on a semi-log plot?

The number of bacteria in a bacterial culture is 59,295 at the end of 5 hours. If the number of bacteria in the culture increases by a factor of 1.99 every hour, find the equation to describe the growth of the culture. Write your answer in form. Round each portion of the answer to 2 decimal places if necessary.

The deer population in Potter County has a continuous growth rate of 7.6% a year. If the deer population was 760 in 2007, find a function that gives the deer population, P, as a function of the years after 2007, y, (Write your answer in form.)

Find the effective interest rate of an account that pays 5% interest compounded continuously. Write your answer as a percent rounded to 2 decimal places, such as 4.13%.

Identify the scale used on the vertical axis of this graph.

Suppose an investment grows from 8,000 to 30,000 over 13 years. Find A) the 13-year growth factor and B) the annual growth factor. Round answers to 2 decimal places.

A piece of equipment is originally worth $18,000 and its worth decreases by a factor of 0.6 each year. A) Find a formula that gives the equipment's value , V, as a function of the years, y, since its purchase. B) Use the formula to find the worth of the equipment after 3 years.Round your answer to the nearest cent.

Find a by converting to a. Round your answer to 2 decimal places.

Given the functions: F(x) = 97 (6.9)^x G(x) = 57 + 0.81x H(x) = 78 (0.94)^x K(x) = 26.7 - 4.9x As , which function(s) approach 0? Select all that apply.

Determine the doubling time for money invested at 6.7% interest compounded quarterly. Round the answer to the nearest tenth of a year.

Determine which data is (roughly) exponSential.

The deer population in Potter County has a continuous growth rate of 5.7% a year. If the deer population was 410 in 2007, find: A) a function that gives the deer population, P, as a function of the years after 2007, y, (Write your answer in form.) and, B) use the function to find the deer population of Potter County in 2016. Round your answer to the nearest deer.

Write a function in the form for an exponential function where and .

Consider: F(x) = 49.5 + 2.4x G(x) = 22.6 (2)^x Compare f(0) to g(0).

The city of Carslynn, WI, expects the city budget to double every 34 years. What is the expected annual percent increase in the budget? Round the answer to the nearest hundredth of a percent.

A city has a decay factor of 0.89 every 8 years. If the population is currently 80,973, construct a function to describe the city's population each year. Round each part of the answer to 3 decimal places if necessary.

Find an exponential function where and Write your answer in form and round values to 2 decimal places.