Growing, Growing, Growing Review

Exponential Growth

100

It determines states the initial amount of an exponential growth function

What is the the a value

200

The growth factor represented by the table x|0|1|2|3 |4 |5 y|1|3|9|27|81|244

What is 3

300

Write an equation of a exponential growth problem where the initial amount is 350 and increase by 47% each unit

y=350(1.47^x)

400

Describe the pattern of the graph the following exponential growth function y=3^x

Answers will vary

The graph will increase at an exponential rate of 3x 

500

What is the difference between growth rate and growth factor?

Growth Rate: Percent it is increasing Growth Factor: Percent as a decimal plus 1

Exponential Decay

100

What will we multiply by if our amount was decreasing by 30%?

.7

200

Determine the decay factor of x|0 |1 |2 |3 |4 y|500|250|125|62.5|31.25|

1/2

300

Make a table from 0 to 5 with an initial amount of 1,024 and a decay factor of 1/4

see table

400

Write an equation where your initial amount is 300 and the amount decreases by 40% each unit

y=300(.6^x)

500

Graph y=50(1/5^x)

Check graph

Scientific Notation

100

Write 364,210,000,000 in Scientific Notation

3.6421X10^11

200

write 3.4506 x 10^5 in standard notation

345,060

300

Calculate: 2.01 x 10^7 -------------- 1.50 x 10^3

1.34 x 10^4

400

Write in scientific notation then solve: 24,600,000,000 divided by 12,300,000

2X10^3

500

Write 23,450,000,000,300,000 in scientific notation

2.34500000003 X 10^16

Exponent Rules 1

100

2^3 x 2^5

2^8

200

3^9/3^3

3^6

300

(7^6)^5

7^30

400

3^7 x (3^4)^5

3^27

500

(3^9)^2/3^7

3^11

Exponent Rules 2

100

Write square root of 7 as a base and exponent

7^(1/2)

200

Write the cube root of 5 as a base and exponent

What is 5^(1/3)

300

Write the square root of 3^5 as a base and exponent.

3^(5/2)

400

Write cube root of 7^2 as a base and exponent

7^(2/3)

500

Put answer in terms of a base and exponent: sqrt 8^3 x sqrt 8^7

8^5