Flashcard: Exponential Growth and Decay

Front

Equation for Samantha's hair growth: Initial length = 6 in, Growth rate = 14% per week.

Back

y=6(1.14)^x

Front

A new car is purchased for 36,400 dollars. The value of the car depreciates at 8.5% per year. What will the value of the car be, to the nearest cent, after 14 years?

Back

$10,495.34

Front

A town has a population of 2000 and grows at 4.5% every year. What will be the population after 13 years, to the nearest whole number?

Back

3,544

Front

An element with mass 490 grams decays by 28.6% per minute. How much of the element is remaining after 16 minutes, to the nearest 10th of a gram?

Back

2.2 grams

Front

1400 dollars is placed in an account with an annual interest rate of 6.25%. To the nearest tenth of a year, how long will it take for the account value to reach 4600 dollars?

Back

19.6 years

Front

An element with a mass of 810 grams decays by 37.2% per minute. How long will it be until there are 10 grams remaining?

Back

9 minutes

Front

What is the growth factor when Sally invests $750 at 7% interest?

Back

1.07

Front

Given the growth rate of 47%, what is the growth factor?

Back

1.47

Front

Classify the model: A=1200(.85)⁶ as Exponential GROWTH or DECAY.

Back

Decay

Front

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

Back

300