Exponential Functions Application Problems

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x

• y=15,000(0.92)^x

• y=15,000(1.08)^x

• y=15,000(0.08)^x

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=5000(1.3)^x

• y=30(5000)^x

• y=5000x^x

The population of Boringtown decreased annually by 1.8% between the year 2015-2018. In 2015, there were approximately 200,000 people living in Boringtown. Which function models the city's population since 2015?

• f(x) = 200,000(1 + 0.018)³

• f(x) = 200,000(1 - 0.18)³

• f(x) = 200,000(1 + 0.18)³

• f(x) = 200,000(1 - 0.018)³

y = 7(1.2)^x

• Growth, because of 7

• Decay, because of 1.2

• Growth because of 1.2

• Decay because of 7

What is the starting amount for the following function:
f(x) = 3(1/3)^x 

• 0

• 1/3

• 1

• 3

Is the pictured graph exponential growth, exponential decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

What is the initial value?

• 0

• 3

• 33

• 66

This question will be answered by the person whose first name comes first alphabetically. A student purchased a bike 3 years ago. The value of the bike decreased at a constant percent rate. After 1 year the value of the bike had decreased to $1,080. After 2 years, the value was $972. What exponential function models the value of the bike? Hint: Make a table of values and then find an equation that matches it.

For this question the shortest person must click the answer. The initial value of an exponential function is 1.8. The rate of growth is 4.2%. Which models the value of the function, y, over time t?

The person with the birthday earliest in the year will answer this question.

A student puts $1,500 in a savings account that paid 3% interest compounded annually. The function that models the value of the account, y, after t years is y = 1,500(?????)^t. What is the missing value?