Construct Functions to Model Linear Relationships

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

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.

What is the equation for the Taxi Cab situation?

• y = .3x

• y = x + .3

• y = .3x + 1

• y = .3x - 1

Give the y-intercept

• (2,0)

• (0,2)

• (0,-2)

• there is no y-intercept

What is another name for the initial value?

• slope

• y-intercept

• independent variable

• dependent variable

How would you write the equation with a rate of change of 2/3 and an initial value of -3

• y=3/2x+3

• y=2/3-3

• y=2/3x-3

• I don't have a clue

Brandon works in a shoe store. His daily earnings, y, are represented by the equation y = 20x + 75 based on selling x pairs of shoes. What is represented by the slope in this equation?

• The total pairs of shoes Brandon sells each day

• The total amount of money Brandon earns each day

• The amount of money Brandon earns for each pair of shoes he sells

• The amount of money Brandon earns each day, even if he sells no shoes

The distance in miles, y, a rower in a canoe is from the dock after rowing x hours is represented by the equation y = 5x + 11. What does the y-intercept represent in this situation?

• The speed of the current

• The speed of the rower/canoe

• The distance the rower is from the dock when he began rowing.

• The average speed of the oar as it passes through the water

Debbie is a server at a new restaurant which is trying a new way to pay their servers. Debbie's total earnings for each day can be represented by the equation y=0.10x +50, where x is Debbie's total food sales for the day. What is represented by the slope in this equation?

• Debbie's set commission on her food sales paid for by the restaurant.

• Debbie's set salary for the day.

• Debbie's portion of beverage sales.

• Debbie's free food she gets to eat.