Exponential Growth Equation

The equation for this table is 

• y = 25(4^x)

• y = 4(25^x)

• y = 4x

• y = 4^x

Tags

CCSS.HSF.LE.A.2

What is the growth factor of the exponential function represented by y = 20(5^x)

• 20

• 1

• 5

• 5x

What is the y-intercept represented by the equation y = 10(5^x)

• 5

• 5x

• 10

• 2

Tags

CCSS.HSF-IF.C.7E

A mommy rabbit has two children.  Her two children each have two children.  Her grandchildren each have two children.  How is her family growing?

• linear with slope = 2

• linear with slope = 4

• exponential with gf = 2

• exponential with gf=4

What type of function is y = 7(5/4)^x?

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

Tags

CCSS.HSF-IF.C.8B

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

• SLOPE

• RATE OF CHANGE

• Y-INTERCEPT

• COMMON RATIO

Tags

CCSS.HSF.LE.B.5

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵

• 70(2)⁵

• 2(70)⁵

• 5(70)²

Tags

CCSS.HSF.BF.A.2

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

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

Tags

CCSS.HSF.LE.A.2

What is the pattern you see in this table?

• Common Ratio = 1/3

• Common Difference = 8

• Common Ratio = 3

• Common difference = 3

Tags

CCSS.HSF.BF.A.2