Exponential Function Word Problem

Due to its weakening steel industry, Canalave Town has been experiencing a population decline of 10% every year. The current population is 74,000 people. Assuming the trend continues, which equation projects the population in x years?

• y = 74,000 (0.10)^x

• y = 74,000 (0.90)^x

• y = 74,000 (1.10)^x

• y = 74,000 (1.90)^x

• y = 74,000 (10)^x

The number of research papers in Professor Sycamore area of expertise has been increasing by 5% every year. Given that 30,010 research papers were published this year. Assuming the trend continues, which equation projects the amount of research papers published in x years?

• y = 30,010 (.05)^x

• y = 30,010 (1.05)^x

• y = 30,010 (.95)^x

• y = 30,010 (5)^x

• y = 30,010 (.5)^x

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011? I dollars and cents!

Mathematical Equivalence

ON

During normal breathing, about 12% of the air in the lungs is replaced after one breath. Write an exponential DECAY model for the amount of the original air left in the lungs if the initial amount of air in the lungs is 500 mL. How much of the original air is present after 2 breaths? Round your answer to the nearest tenth of a mL.

Mathematical Equivalence

ON

You buy a new computer for $2100. The computer's value decreases by 50% annually. What is the value of the computer after 5 years?

Mathematical Equivalence

ON

The foundation of your house has about 1,200 termites. If they are growing exponentially and there are 1,230 the next day. How many termites will be under your house after a week?

Mathematical Equivalence

ON

There were 500 rabbits in a meadow, and the rabbits reproduce at an annual rate of 23%. How many rabbits will there be in 5 years?

Mathematical Equivalence

ON

Richey spent $800 on a credit card with 32% interest. Find his account balance after 3 years if the interest is compounded daily and he makes no payments.

Mathematical Equivalence

ON

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there in 1990, what will be the population in 2003?

Mathematical Equivalence

ON

A newly launched clothing line is rapidly increasing in popularity. Every month, 20% more items of clothing are sold. If 89,090 items were sold this month, how many will be sold in 9 months from now?

Mathematical Equivalence

ON