Lesson on Geometric Growth and Decay

In an exponential function, what does the 'a' represent? 

• SLOPE
• RATE OF CHANGE
• Y-INTERCEPT
• COMMON RATIO

Tags

CCSS.HSF.LE.B.5

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

• 300
• 1.16
• .16
• x

Tags

CCSS.HSF.LE.B.5

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

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

What is the y-intercept of the function?

• (0, -3)

• (-3, 0)

• (1, 0)

• (0, 1)

Find the common ratio for the geometric sequence.

• 10
• 1/2
• 2
• 4

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 10(2)^n-1
• a_n = 2(10)^n-1
• a_n = 10(2)ⁿ
• a_n = 2(10)ⁿ

Tags

CCSS.HSF.BF.A.2

Toni's grandparents bought a house in 1975 for $28,000. Every decade the value of the house doubles What will the house's value be in 2020, to the nearest thousands.

• $317,000

• $448,000

• $634,000

• $896,000

A car loses a quarter of its value every year. It is originally wort $35,000. To the nearest dollar, how much will the car be worth in eight years?

• $3,504

• $5,872

• $26,250

• $34,998

Tags

CCSS.HSF-LE.A.1C

Does this graph show an arithmetic or a geometric sequence?

• Arithmetic
• Geometric
• Neither
• Both

What is the domain and range of the function y=2^x ?

Use the graph to help!

• Domain: All Real Numbers

  Range: y>0

• Domain: All Real Numbers

  Range: y>1

• Domain: x<-2

  Range: y>0

• Domain: All Real Numbers

  Range: y>0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5