Exploring Direct Variation Concepts

What is the main focus of this video?

• Linear inequalities

• Quadratic equations

• Direct variation problems

• Indirect variation problems

If a car uses 8 gallons of gasoline to travel 240 miles, how many miles can it travel with 4 gallons?

• 60 miles

• 240 miles

• 120 miles

• 180 miles

In the table of values, what does the ordered pair (0, 0) represent?

• 8 gallons of gasoline and 0 miles

• 0 gallons of gasoline and 0 miles

• 4 gallons of gasoline and 120 miles

• 0 gallons of gasoline and 240 miles

What is the equation derived from the table of values for the car's gasoline usage?

• y = 240x

• y = 4x

• y = 8x

• y = 30x

What type of function is represented by the graph of a direct variation?

• Quadratic function

• Exponential function

• Linear function

• Logarithmic function

What is the constant of variation in the equation y = 30x?

• 30

• 1

• 0

• 240

In a direct variation graph, through which point does the line always pass?

• (0, 0)

• (1, 0)

• (0, 1)

• (1, 1)

How can you identify a direct variation from a table of values?

• By checking if the y-values are all the same

• By checking if the sum of x and y is constant

• By checking if the ratio of y to x is constant

• By checking if the x-values are all the same

What is the form of the equation for a direct variation?

• y = mx + b

• y = kx

• y = ax^2 + bx + c

• y = a/x

In a direct variation, what does the constant of variation represent in a graph?

• The slope of the line

• The x-intercept

• The y-intercept

• The midpoint of the line