y=a(b)^x
Table of Values
Rules of Exponents
Evaluating
Word Problems
100

What does the a-value represent?

Starting amount or y-intercept

100

What is the a-value of the points below?

x=0, y=5

x=1, y=10

x=2, y=20

x=3, y=40

a = 5

100

Simplify the following.

4a2 + 5a2

9a2

100
Use the equation below.

y = 2(3)x

Find the value of y when x = 2


2(3)2 = 18

y = 18

100

Raul starts with $30. His money doubles every month.

a) Write an equation y = a(b)x.

b) How much money will he have in 6 months

y = 30(2)x

30(2)6 = $1920

200

What does the b-value represent?

Growth factor (multiplied by)

200

What is the b-value of the points below?

x=0, y=5

x=1, y=10

x=2, y=20

x=3, y=40

b =  2
200

Simplify the following

x5 * x8

x13

200

Use the equation below.

y = 4(7)x

Find the value of y when x = 1

4(7)1 = 28

y = 28

200

Diego starts with $80. His money triples every year.

a) Write an equation y = a(b)x.

b) How much money will he have in 3 years?

y = 80(3)x

80(3)3 =$2160

300

Write an equation starting at 15 being multiplied by 3.

y = 15(3)x

300

What is the equation y=a(b)x of the points below?

x=0, y=5

x=1, y=10

x=2, y=20

x=3, y=40

y = 5(2)x

300

Simplify the following

(x4)5

x20

300

Use the equation below.

y = 9(1/3)x

Find the value of y when x = 2

9(1/3)2 = 1

y = 1

300

An iceberg is 700 feet tall.  It is melting by a quarter each week.

a) Write an equation y = a(b)x.

b) How big will the iceberg by in 3 weeks?

y = 700(1/4)x

700(1/4)3 =10.9 feet tall

400

Write an equation starting with 4 being divided by 7

y = 4(1/7)x

400

What is the equation y=a(b)x of the points below?

x=0, y=4

x=1, y=12

x=2, y=36

x=3, y=108

y = 4(3)x

400

Simplify the following

x3y2 * x4y8

x7y10

400

Use the table in the calculator.

y = 5(2)x

Find the value of x when y = 320

x = 6

400

An iceberg is 500 feet tall.  It is melting by a third each week.

a) Write an equation y = a(b)x.

b) How long will it take for the iceberg to be less than 20 feet tall?

y = 500(1/3)x

x = 3 weeks

500

Write an equation with a y-intercept of (0, 5) and a growth factor of divided by 2

y = 5(1/2)x

500

What is the equation y=a(b)x of the points below?

x=0, y=100

x=1, y=50

x=2, y=25

x=3, y=12.5

y = 100(1/2)x

500

Simplify the following.

(2x6)2

4x12

500

Use the table in the calculator.

y = 8(1/4)x

Find the value of x when y = 512

x = -3

500

The population is 4000 people and increasing 4% each year.

a) Write an equation y = a(b)x.

b) When will the population exceed 5000 people?

y = 4000(1.04)x

x = 6 years

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