Exploring Direct Variation and Its Applications

What is another term for the constant of variation in a direct variation equation?

• Intercept

• Slope

• Quadrant

• Vertex

In a direct variation equation, what does the variable 'm' represent?

• Y-axis

• Slope

• Intercept

• X-axis

What is the general form of a direct variation equation?

• y = x/m

• y = mx

• y = m/x

• y = mx + b

If a line passes through the origin (0,0) and has a slope of 3, what is the direct variation equation?

• y = 3/x

• y = x/3

• y = 3x

• y = 3x + 1

Given a graph where the cost of gymnastics lessons varies directly with the number of sessions, and the slope is 10, what is the direct variation equation?

• y = 10x

• y = x/10

• y = 10/x

• y = x + 10

In the context of gymnastics lessons, if the slope is 10, what does this number represent?

• 10 dollars per hour

• 10 sessions per hour

• 10 dollars per session

• 10 sessions per dollar

If 2 pounds of peanuts cost $5.80, what is the cost per pound?

• $2.90

• $5.80

• $1.45

• $2.00

What is the direct variation equation for the cost of peanuts if 2 pounds cost $5.80?

• y = 5.80x

• y = 2.90x

• y = 2.90/x

• y = x/2.90

If the number of cups of flour varies directly with the number of cups of oats, and the slope is 2, what is the direct variation equation?

• y = 2x

• y = x/2

• y = 2/x

• y = x + 2

In the context of making cookies, if the slope is 2, what does this number represent?

• 2 cookies for every cup of flour

• 2 cookies for every cup of oats

• 2 cups of oats for every cup of flour

• 2 cups of flour for every cup of oats