Exponential Math Review

Suppose a culture of bacteria begins with 5000 cells and dies at a rate of 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

Find the decay factor from the given graph.

Tags

CCSS.HSF-IF.C.7E

Which of the following functions shows an initial amount of $150 and an increase of 2.5% each year?

• y = 150(2.5)^x

• y = 150(1.025)^x

• y = 150(3.5)^x

• y = 35(1.25)^x

Tags

CCSS.HSF.LE.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(1.014)^x

• y=6(1.14)^x

• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

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

• SLOPE

• RATE OF CHANGE

• Y-INTERCEPT

• COMMON RATIO

Tags

CCSS.HSF.LE.B.5

A sample of a substance with an initial mass of 500 grams is decaying at a rate of 32% per hour. 

 

Create a function that can be used to find y, the mass of the substance in grams remaining after x hours.

 

Enter your answer in the space provided.

Mathematical Equivalence

ON

Tags

CCSS.HSF.LE.A.2

A shipping company started with 40 employees. The number of employees in the shipping company increases at a rate of 7.5% each year. What function can be used to model the number of employees, f(x), in the shipping company after x years?

Tags

CCSS.HSF.LE.A.2

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

Tags

CCSS.HSF.BF.B.5

The function shown is a(n)​ (a)   function.

This function shows ​ (b)   because the graph is decreasing.

The horizontal asymptote is at ​ (c)  

• exponential

• decay

• y=-1

• linear

• x=-1

• growth

Tags

CCSS.HSF-IF.C.7E

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

Tags

CCSS.HSF.LE.A.2