Exponential Versus Linear Tables and Word Problems

Decide whether the word problem represents a linear or exponential function. . “A library has 8000 books, and is adding 500 more books each year.”

• Linear

• Exponential

“A gym’s customers must pay $50 for a membership, plus $3 for each time they use the gym.” Decide whether the word problem represents a linear or exponential function.

• Linear

• Exponential

“A bank account starts with $10. Every month, the amount of money in the account is tripled.” Is this a linear situation or an exponential situation?

• Linear

• Exponential

“A bank account starts with $10. Every month, the amount of money in the account is tripled.” Write an equation to represent this situation

• y=3(10)^x

• y=10(3)^x

• y=10(1.3)^x

• y=3x+10

Which equation describes the story below?
You have $5 and triple your money every day. 

• y=5(3)^x

• y=5^x

• y=5(3x)

• y=15^x

Write the function for the following table:

• f(x)= 1/3x + 27

• f(x)= 3x+27

• f(x)= 243(3)^x

• f(x) = 27(1/3)^x

“There are 20,000 owls in the wild. Every decade, the number of owls is halved.” Can this be modeled with a linear or exponential equation?

• Linear

• Exponential

There are 20,000 owls in the wild. Every decade, the number of owls is halved. Write an equation to model this situation

• y=20000-(1/2)x

• y=20000+(1/2)x

• y=20000(0.5)^x

• y=20000(50)^x

Consider the relationship represented by this table. Is it linear, exponential or neither?

• Linear

• Exponential

• Neither

Consider the relationship represented by this table. Is it linear, exponential or neither?

• Linear

• Exponential

• Neither