Unit 3- Linear and Exponential Models REVIEW

Front

What type of function is f(x)=2(1/7)^x?

Back

Exponential Decay

Front

Consider the function f(x)=22000(0.94)^x. Is the population of the town increasing or decreasing?

Back

Decreasing

Front

What is the initial balance in the bank account represented by b(x)=850(1.025)^x?

Back

850

Front

What type of function is represented by the equation f(x)=3(2)^x?

Back

Exponential Growth

Front

What is the general form of an exponential decay function?

Back

f(x) = a(1 - r)^x, where 0 < r < 1.

Front

What is the formula for calculating the future value of an investment with exponential growth?

Back

A = P(1 + r)^t, where A is the amount, P is the principal, r is the rate, and t is time.

Front

If a quantity decreases by 10% each year, what is the decay factor?

Back

0.90

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage.

Front

How do you determine the half-life of a substance in exponential decay?

Back

The half-life is the time it takes for a quantity to reduce to half its initial value.

Front

What is the value of a printer worth after 8 years if it depreciates at a rate of 5% annually from an initial value of $35,000?

Back

$23,219.72