Exploring Exponential Models: Revealing Hidden Information with Exponents

This video tutorial explains how to transform exponential models to uncover hidden information using exponent properties. It covers exponential functions, growth, and decay, illustrating with examples like bacteria population and car depreciation. The tutorial also discusses calculating percent change over different time periods and how to adjust models for daily changes.

What is the form of an exponential function?

• y = mx + b

• y = b^x

• y = ax^2 + bx + c

• y = log(x)

What does the base of an exponential function indicate?

• The number of time periods

• The rate of change

• The initial value

• The direction of the graph

How can you calculate the percentage of change per hour?

• Subtract the original value from the new value and divide by the original value

• Divide the new value by the original value

• Multiply the original value by the new value

• Add the original value to the new value

How can you adjust an exponential model to show changes per minute?

• Add 60 to the exponent

• Use the reciprocal of 60 in the exponent

• Divide the base by 60

• Multiply the base by 60

What happens to the value of a car that decreases by 10% per year?

• It loses 10% of its value each year

• It doubles in value each year

• It remains the same

• It increases by 10% each year

What is the daily percent change if a car loses 0.03% of its value per day?

• 0.03%

• 0.3%

• 3%

• 30%

Why is it incorrect to divide the weekly percent change evenly to find the daily change?

• Because the rate compounds unevenly

• Because the rate is always constant

• Because the rate decreases over time

• Because the rate increases over time