Exponential Functions Basic
Find Growth/Decay %
Distinguish Arithmetic vs. Geometric Sequences
100

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?

2.2

100

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. 

 y=15(0.94)^X 

6% Decrease

100

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.

19,14,9,..

This is an arithmetic sequence and the common difference is equal to -5

200

An element with mass 730 grams decays by 27.6% per minute. How much of the element is remaining after 12 minutes, to the nearest 10th of a gram?

15.1

200

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. 

y=10(0.91)^X 

9% decrease

300

A town has a population of 5000 and grows at 2% every year. What will be the population after 5 years, to the nearest whole number?

5520

300

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. 

y=7000(1.97)^X 

97% Increase

400

A town has a population of 10000 and grows at 5% every year. What will be the population after 5 years, to the nearest whole number?


12763

400

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. 

 y=20(0.534)^X 

 

46.6% Decrease

500

7800 dollars is placed in an account with an annual interest rate of 6.5%. How much will be in the account after 29 years, to the nearest cent?

48443.25

500

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. 

y=93(0.65)^X 

35% Decrease