Exponential Growth and Decay Word Problems

The world population in 2000 was approximately 6.08 billion. The annual rate of increase was about 1.26%.

What is the growth factor for the world population?

Mathematical Equivalence

ON

The world population in 2000 was approximately 6.08 billion. The annual rate of increase was about 1.26%. Suppose the rate of increase continues to be 1.26%.

What function would model the world population?

Mathematical Equivalence

ON

The world population in 2000 was approximately 6.08 billion. The annual rate of increase was about 1.26%. Let x be the number of years past the year 2000. Find the world population in 2010.

• 6.88 billion

• 6.98 billion

• 7.08 billion

• 7.18 billion

A computer valued at $6500 depreciates at the rate of 14.3% per year.

What is the function that models the value of the computer?

Mathematical Equivalence

ON

A computer valued at $6500 depreciates at the rate of 14.3% per year.

Find the value of the computer after three years.

Mathematical Equivalence

OFF

The population of a certain animal species decreases at a rate of 3.5% per year. You have counted 80 of the animals in the habitat you are studying. What function models the change in the animal population?

Mathematical Equivalence

ON

The population of a certain animal species decreases at a rate of 3.5% per year. You have counted 80 of the animals in the habitat you are studying.

How many animals will there be in 45 years?

Mathematical Equivalence

ON

A $12,500 car depreciates 9% each year.

Find the value of of the car after five years to the nearest dollar.

Mathematical Equivalence

OFF

Write an exponential function to model each situation. A $12,500 car depreciates 9% each year.

Mathematical Equivalence

ON

A new truck that sells for $29,000 depreciates 12% each year. Write a function that models the value of the truck.

Mathematical Equivalence

OFF