Graphs: Connecting Context

Find the average rate of change between the two points

(3, 40) and (6, 90)

• 25.75
• 16.67
• 20.5
• 12.33

Find the average rate of change between the two points

(-3, 12) and (-6, 90)

• 45
• -26
• -15
• 120

The number of computers in the United States in 1998 was 93.3 million.

Since then, the population has increased at a rate of 5% each year.
Create a function, f(t) number of computers for the number of years, t.

match the variables with the numerical values from the problem.

• t

• initial value

• number of computers

• years

• 5%

• f(t)

• 93.3

• rate of change

A hot air balloon is rising in the air.

After 1 hour the hot air balloon is at a height of 1,000 feet.

After 5 hours the height of the air balloon is at a height of 3,000 feet.
What is the average rate of change between hour 1 and 5?

• 500 feet per hour
• 200 feet per hour
• 700 feet per hour
• 1,500 feet per hour

An elevator rises in a business building.

After 2 seconds the elevator is at a height of 30 feet.

After 5 seconds the elevator is at a height of 70 feet.
What is the average rate of change between seconds 2 and 5?

• 13.33 feet per second
• 20 feet per second
• 10 feet per second
• 15 feet per second

The population of frogs was 1,500 in 1990. Since then, the population has DECREASED at a rate of 2% each year. Choose the function that describes the population of the number of frogs in years, t, since 1990.

The population of 1.8 million in 2000.

Since then, the population has increased at a rate of 1.4% each year.
Choose the function that describes the population of the number of frogs in years, t, since 2000.