EOC Flashcard 3

Front

What does it mean for y to vary inversely as x?

Back

It means that as x increases, y decreases, and vice versa. The relationship can be expressed as y = k/x, where k is a constant.

Front

What does it mean for y to vary directly as x?

Back

It means that as x increases, y also increases. The relationship can be expressed as y = kx, where k is a constant.

Front

If y varies directly as x, what is the equation of the line that represents this relationship?

Back

The equation is y = kx, where k is the constant of variation.

Front

How do you find the constant of variation when given a direct variation problem?

Back

You can find the constant of variation (k) by dividing y by x (k = y/x) for any pair of values.

Front

What is the relationship between calories burned and time in Sarah's running example?

Back

The relationship is linear, represented by the equation c = 14t, where c is calories burned and t is time in minutes.

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where k is the constant of variation.

Front

What is the formula for inverse variation?

Back

The formula for inverse variation is y = k/x, where k is a constant.

Front

If an object weighs 24 ounces and has a volume of 30 cubic inches, how do you find the constant of variation?

Back

Front

What does it mean if a table does not show direct variation?

Back

It means that the ratio of y to x is not constant for all pairs of values in the table.

Front

What is the significance of the constant of variation in direct and inverse relationships?

Back

The constant of variation indicates how much y changes with respect to x; it is a key factor in determining the strength and nature of the relationship.