Applying Real World Concepts to Linear Equations

The current world population is approximately seven billion and is growing at a rate of approximately 73 million per year. Which equation accurately represents the above scenario?

• y = 73,000x + 7,000,000

• y = 73,000,000x + 7,000,000,000

• y = 7,000,000x + 73,000,000

• y = 7,000,000,000x + 73,000,000

To clean out her new 120 gallon fish tank, Erika purchased a water pump that will siphon out three gallons of water every minute.

G = 120 - 3m

What is the domain for this scenario?

• [0, 40]

• [0, 120]

• [40, 0]

• [120, 0]

To clean out her new 120 gallon fish tank, Erika purchased a water pump that will siphon out three gallons of water every minute.

G = 120 - 3m

What is the range?

• [0, 40]

• [40, 0]

• [120, 0]

• [0, 120]

To clean out her new 120 gallon fish tank, Erika purchased a water pump that will siphon out three gallons of water every minute.

G = 120 - 3m

What is the slope?

• -3

• 3

• 120

• -120

To clean out her new 120 gallon fish tank, Erika purchased a water pump that will siphon out three gallons of water every minute.

G = 120 - 3m

What is the x-intercept AND meaning [two answers]

• (40, 0)

• (0, 120)

• The tank is empty at 40 minutes

• The tank initially contains 120 gallons

To clean out her new 120 gallon fish tank, Erika purchased a water pump that will siphon out three gallons of water every minute.

G = 120 - 3m

What is the y-intercept AND meaning [two answers]

• (40, 0)

• (0, 120)

• The tank is empty at 40 minutes

• The tank initially contains 120 gallons

To clean out her new 120 gallon fish tank, Erika purchased a water pump that will siphon out three gallons of water every minute.

G = 120 - 3m

What is the independent variable?

• minutes siphoning the water

• gallons

• total gallons remaining

• minutes

To clean out her new 120 gallon fish tank, Erika purchased a water pump that will siphon out three gallons of water every minute.

G = 120 - 3m

What is the dependent variable?

• minutes siphoning the water

• total gallons remaining

• gallons

• minutes

To clean out her new 120 gallon fish tank, Erika purchased a water pump that will siphon out three gallons of water every minute.

Which equation accurately represents the above scenario?

• G = 3m + 120

• G = 120 - 3m

• m = 3G - 120

• m = 120 - 3G

Taxi Companies in Chicago typically charge an initial fee of $2.25 and $1.80 per mile. Which equation best represents this scenario?

• T = 1.80m + 2.25

• T = 2.25m + 1.80

• m = 1.80T + 2.25

• m = 2.25T + 1.80