5.8 Flashcard

Front

What is exponential growth?

Back

Exponential growth occurs when the increase in a quantity is proportional to its current value, leading to growth at a constant rate over time. For example, a population that doubles in size at regular intervals.

Front

Define half-life in the context of radioactive decay.

Back

Half-life is the time required for half of the radioactive atoms in a sample to decay. It is a constant for each radioactive isotope.

Front

What function represents a population that doubles every week?

Back

Front

How do you calculate the number of half-lives that have passed?

Back

Front

If an investment doubles every month, how do you calculate the amount after a certain number of months?

Back

Front

What is the formula for exponential decay?

Back

Front

How much of a substance remains after 3 half-lives?

Back

After 3 half-lives, 1/8 of the original amount remains, as each half-life reduces the quantity by half.

Front

What is the initial amount if 1.313mCi remains after 30 years with a half-life of 6 years?

Back

Front

If a population of bacteria starts at 750 and doubles every day, how do you find the population after 5 days?

Back

Front

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

Back

The base in an exponential function indicates the growth or decay factor. A base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.