5.1 Practice

Front

What is the formula to calculate the remaining amount of a substance after a certain percentage decrease over time?

Back

Remaining Amount = Initial Amount * (1 - Percentage Decrease)^(Time)

Front

If an adult takes 400 mg of ibuprofen and it decreases by 29% each hour, how much is left after 1 hour?

Back

284 mg

Front

What is the formula for exponential growth?

Back

f(x) = a(1 + r)^x, where a is the initial amount, r is the growth rate, and x is time.

Front

What is the starting term (a) in the function: f(x) = 300(1.16)^x?

Back

300

Front

How do you classify a function that increases over time?

Back

Growth

Front

What is the formula to calculate the future value of an investment with annual growth?

Back

Future Value = Present Value * (1 + Growth Rate)^Number of Years

Front

If Mr. Davis's home was worth $160,000 twenty years ago and has increased by 5% per year, what is its current value?

Back

$424,527.63

Front

What does a decay function represent?

Back

A decay function represents a decrease in quantity over time, often modeled as f(x) = a(1 - r)^x.

Front

What is the difference between linear growth and exponential growth?

Back

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

Front

If a quantity decreases by 20% each hour, what is the remaining amount after 3 hours if the initial amount is 100 mg?

Back

51.2 mg