Proportion, Constant of Proportionality, Slope

What makes a graph proportional?

• A straight line (linear) that goes through the origin

• Linear (straight line), that does NOT go through the origin.

 

Which graph shows a proportional relationship?

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Grace, Isla, and Maya are having a race. They noticed that for every 2 steps Grace takes, Isla takes only 1. If we were to express this as an equation, y = ½x, what does the ½ represent in this scenario?

• The number of steps Grace takes

• The number of steps Isla takes

• The total number of steps taken

• The difference in steps between Grace and Isla

Aria, Arjun, and Anika are working on a project that requires 5 pounds of concrete. They spend $40 on it. What is the unit rate in dollars per pound?

• $8 per pound

• $35 per pound

• $5 per pound

• 0.125 pounds per dollar

What is the slope/constant of proportionality of the line?

The table represents a proportional relationship between y and x. What is the slope/constant of proportionality?

What is the slope/constant of proportionality of the line?

• 4

• 2

What is the slope/constant of proportionality of the line?

If the line represents a proportion and passes through (-3, -18), what is the slope of the line?

• 6

• -6

The table represents a proportional relationship between y and x. Which equation represents the relationship?