Direct Variation Quizizz

What does the equation y = kx represent in direct variation?

• An inverse relationship between x and y

• A linear relationship where y changes at a constant rate as x changes

• A proportional relationship where y decreases as x increases

• A quadratic relationship between x and y

How do you calculate the constant of variation (k) in a direct variation equation?

• Subtract y from x

• Add x to y

• Divide y by x

• Multiply x by y

What does the constant of variation (k) represent in a direct variation equation?

• The y-intercept of the graph

• The slope of the line on a graph

• The maximum value of y

• The x-intercept of the graph

If y = 8 when x = 2, what is the value of y when x = 7 in a direct variation?

• 56

• 15

• 28

• 11

In a direct variation, if y = 9 when x = -4, what is the value of y when x = 11?

• -24.75

• 99/4

• 24.75

• -99/4

What is the first step in solving a direct variation problem?

• Determine if y varies directly with x

• Plug in the values of x and y

• Calculate the constant of variation (k)

• Write the equation

How can you determine if y varies directly with x using a table of values?

• By adding all the x values

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

• By subtracting y from x for each pair

• By calculating the constant of variation (k) for each pair and checking if it's constant

If the constant of variation (k) changes in a table of values, does y vary directly with x?

• Yes, always

• No, y does not vary directly with x

• Yes, but only if k is positive

• It depends on the values of x

In a table showing direct variation, what indicates that y varies directly with x?

• The product of x and y is the same for each pair

• The constant of variation (k) is the same for each pair of x and y

• The difference between consecutive x values is constant

• The sum of x values is equal to the sum of y values

If Karen walks 2 miles in 25 minutes, how many miles can she walk in one hour?

• 3.2 miles

• 6 miles

• 5 miles

• 4.8 miles