Exam 3: Exponential Functions and Models

After college graduation, Sheena was offered two different jobs. The first offer included a salary of $37,600 plus a guaranteed raise of $1500 per year. The second offer included a salary of $33,700 plus a guaranteed raise of 7% per year. What is the average rate of change for the function defined by the second job offer for year 1 to year 5? (Rounded to the nearest hundredths)

Using the following table of a function that models exponential decay, determine which one of the following models the amount of radioactive substance as a function of time.

The half-life of Radon-222 is 3.8 days. A 46-gram sample of Radon-222 is monitored for one day. How many grams of Radon-222 are left after 16 hours (rounded to the nearest hundredths)?

In 1990, a town's population was 21,354. In 1998, the town's population increased to 29,012. Assuming that the population increased exponentially, the one-year growth factor is 1.039.

Zachary invested $4000 into an account with an interest rate of 5.3% each year, compounded monthly. How much money will be in the account after 1 month (rounded to the nearest hundredth)?

Using the following table of a function that models exponential growth, determine the initial value of the population (rounded to the nearest integer).

A certain region started with 187 wild coyotes. Due to drought, the region had only 46 coyotes remaining after 6 months. Which of the following is the 6-month decay factor (rounded to the nearest hundredth)?

The model describes the amount of Krypton-91 remaining after x minutes. Which one of the following written statements best describes the behavior of Krypton-91?

The function is a model for the world population (in billions) where t measures the number of years since 1900. What is the carrying capacity for the function P ?

The cost of college tuition (in hundreds of dollars) at a local community college at time t (in decades) is modeled by . What is the cost of tuition after one year?

The revenue (in millions) of a struggling corporation at time t (in months) is modeled by . What is the one-year decay factor for corporation s revenue (rounded to the nearest hundredth)?

The function is a model for the world population (in billions) where t measures the number of years since 1900. What is the initial population value?

Using the following table of a function that models exponential decay, determine which one of the following models the amount of radioactive substance as a function of time?

Sally wishes to invest $4500 in a 2-year CD with an interest rate of 5.3% each year and compounded monthly. What is the annual percentage yield for Sally's CD (rounded to the nearest hundredth)?

The revenue (in millions) of a struggling corporation at time t (in months) is modeled by . What will the corporation s revenue be after 7 months (rounded to the nearest hundredth)?

The graph of a function that models exponential growth is shown. What is the one-year growth factor?

Marcus wishes to invest $2500 in a 3-year CD that has an interest rate of 4.5% each year, compounded twice a year. What will the CD be worth after 3 years (rounded to the nearest hundredth)?

In 1990, a town's population was 21,435. In 1998, the town's population increased to 32,054. Assuming that the population increased exponentially, the population in 1982 was 14,334.

The number of ants in a colony at time t (in days) is modeled by . What is the one-week growth factor for the number of ants (rounded to the nearest hundredth)?

The population of Smallville at time t (in years) is modeled by . What is the growth factor?