RETAKE Unit 3 Part 2 EXAM OnRamps

Front

What is the formula to model the value of an item that triples in price every 10 years?

Back

Front

What is the half-life formula in radioactive decay?

Back

Front

How do you isolate t in the half-life formula?

Back

Front

What is the depreciation formula for an item?

Back

Front

How do you calculate the time it takes for an item to depreciate to a certain value?

Back

Set the depreciation formula equal to the desired value and solve for t.

Front

What is the value of an item after 1 year if it depreciates 6.8% from $45,000?

Back

Front

What is the concept of exponential growth?

Back

Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time.

Front

What is the concept of exponential decay?

Back

Exponential decay occurs when a quantity decreases at a rate proportional to its current value, leading to a rapid decrease initially that slows over time.

Front

What is the significance of the base in an exponential function?

Back

The base determines the rate of growth or decay; a base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

Front

What is the natural logarithm and its significance in exponential equations?

Back

The natural logarithm (ln) is the logarithm to the base e, and it is used to solve equations involving exponential functions.