Modeling with Linear Equations

Write the equation for the model.

• -6x=-30

• 6x=-30

• 6=-30

• -6x=30

Based on the table, determine the rate of change for the situation.

• There are 10 candles burning for 10 hours.

• The candle starts at 10 inches tall and after 10 hours it is burned out.

• For every hour that goes by, the candle loses an inch in height.

• The candle burns an inch every hour.

Determine the rate of change for the graph above.

• 100/25

• 2/1

• 20/0

• 40/10

Which situation could match the depicted graph?

• The rate of change is a loss of one gallon each hour

• The rate of change is an increase in temperature related to time

• The rate of change describes gas mileage related to engine size

• The rate of change is a constant 25 miles per hour

What is the way to describe the rate of change?

• Number of units of electricity per cost

• Cost per number of units of electricity

What is the rate of change for this situation?

• There are 660 costs and 600 units of electricity

• The cost is $100 for every 110 units

• The cost is $110 for every 100 units

Kim traveled 6 miles in two hours. Which line represents Kim?

• Dashed Blue

• Solid Black

Determine the rate of change. What is the cost for a dozen pounds?

• $12

• $20

• $24

• $30

What is the equation for the Taxi Cab situation?

• y = .3x

• y = x + .3

• y = .3x + 1

• y = .3x - 1

Determine the equation of the line based on the graph.

• y = -2x + 1

• y = -x + 2

• y = 2x + 1

• y = -2x + 2