Test 4B

Front

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

Back

It means that y is proportional to x, which can be expressed as y = kx, where k is the constant of variation.

Front

What is the equation for direct variation when the constant of variation is -3?

Back

Front

How do you identify a direct variation graph?

Back

A direct variation graph is a straight line that passes through the origin (0,0).

Front

What is the general form of an inverse variation equation?

Back

Front

If the point (2, -10) lies on the graph of an inverse variation, what is the equation?

Back

Front

How do you calculate calories burned in direct variation problems?

Back

Use the formula: Calories burned = (Calories per minute) * (Minutes spent jogging).

Front

If George burns 150 calories in 20 minutes, how many calories does he burn in 30 minutes?

Back

He burns 225 calories.

Front

What is the relationship between y and x in inverse variation?

Back

As y increases, x decreases, and vice versa, maintaining the product k = xy constant.

Front

If y = 7 when x = 9 in an inverse variation, what is the value of k?

Back

k = 7 * 9 = 63.

Front

If y = 14, what is x when y is inversely proportional to x and k = 63?

Back