Exponential vs. Linear

Linear Functions grow...

• additively

• multiplicativity

Exponential Functions grow...

• additively

• multiplicativity

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Linear functions grow by equal _______ over equal intervals.

• differences

• factors

Tags

CCSS.8.F.A.3

Exponential functions grow by equal _______ over equal intervals.

• differences

• factors

Tags

CCSS.HSF-LE.A.1A

Exponential functions grow by a constant _______.

• percent rate

• rate

Tags

CCSS.HSF-LE.A.1A

A botanist compares the height of a type of plant in two different growing areas. The results are shown in the table.

Select TWO true statements for Area 1 and Area 2

• Area 1 is exponential and Area 2 is linear

• Area 1 is linear and Area 2 is exponential

• Area 1 grows by a constant percent rate and Area 2 grows by a constant rate

• Area 1 grows by a constant rate and Area 2 grows by a constant percent rate

The table shows the the value of a stock that is increasing.

What's true about the table?

• The table is growing by equal factors over equal intervals therefore it is a linear function

• The table is growing by equal differences over equal intervals therefore it is an exponential function

• The table is growing by equal factors over equal intervals therefore it is an exponential function

• The table is growing by equal differences over equal intervals therefore it is a linear function

Which table is growing by a fixed percent rate?

• Table A because it is exponential

• Table A because it is linear

• Table B because it is exponential

• Table B because it is linear

Tags

CCSS.HSF-LE.A.1A

Click all the situations that are exponential

• A vine grows 6 inches per week.

• The value of a car depreciates at a rate of 15% per year after it is purchased.

• A species of fly doubles its population every month during the summer.

• A water tank is filled at a rate of 3 gallons per hour.

• The concentration of medicine in a person's body that decays by a factor of one-third every hour.

Tags

CCSS.HSF-LE.A.1A

The table shows the value of house, f(x), after x years. Which statement is true about the value of the house?

• The value of the house is increasing by $3,850 each year

• The value of the house is decreasing by $3,850 each year

• The value of the house is decreasing by approximately 2.75​% each year

• The value of the house is increasing by approximately 2.75​% each year

Tags

CCSS.HSF.LE.B.5