Direct Variation Flashcardizz

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other, expressed as y = kx, where k is the constant of variation.

Front

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

Back

The constant of variation (k) represents the rate at which y changes with respect to x in a direct variation relationship.

Front

If y = 4 when x = 1, what is the value of k?

Back

k = 4, since y = kx implies 4 = k(1).

Front

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

Back

4.8 miles.

Front

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

Back

No, y does not vary directly with x.

Front

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

Back

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

Front

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

Back

28.

Front

Which of the following graphs represents a direct variation?

Back

Graph C.

Front

What is the formula to find the constant of variation (k)?

Back

k = y/x.

Front

If k = 3, what is y when x = 5 in a direct variation?

Back

y = 15, since y = kx implies y = 3(5).