Linear vs. Exponential growth

The value of a painting is $12,000 in 1990 and increases by 8% of its value each year.  Write and evaluate an expression to estimate the paintings value in 2005.

• 1.08(12,000)^t = $36,000
• 12,000(1.08)^t = $38, 066
• 12,000(0.5)^t = $10,000
• 12,000(0.92)^t = $40,000

Tags

CCSS.HSF.BF.A.2

Is the Equation Linear or Exponential?

• Linear
• Exponential

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Is the Equation Linear or Exponential?

• Linear
• Exponential

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Given the following table, write the equation.

• y = 9x + 3
• y = 3x + 12
• y = 3x + 9
• y = 1x + 12

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

What is the common ratio for the sequence:
28, 14, 7, 3.5...
Reminder: common ratio is common multiple used to get  the next output

• 2
• 1/2
• -14
• -7

Tags

CCSS.HSF.BF.A.2

What is r, the growth rate, for the function: f(x) = 300(1.16)^x?

• 300
• 1.16
• .16
• x

Tags

CCSS.HSF-IF.C.8B

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x
• y=6(1+14)^x
• y=6(1.14)^x
• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

Which function has the greatest y-intercept?

• f(x)
• h(x)
• g(x)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Challenge 2:
Which statement below describes the comparison of rate of change between the linear function f(x) and the exponential function g(x). 

• g(x) rate of change is ALWAYS greater than f(x) rate of change. 
• g(x) is NEVER greater than f(x) rate of change. 
• g(x) will eventually exceed the rate of change of f(x). 
• There is not enough information to compare the rate of change of f(x) to g(x). 

Classify the table: 

• Function
• Not a Function

Tags

CCSS.8.F.A.1