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What does it mean to be directly proportional to the square?

Directly proportional: as one amount increases, another amount increases at the same rate. ∝ The symbol for “directly proportional” is ∝ (Don’t confuse it with the symbol for infinity ∞)

What does it mean if Y is directly proportional to x?

(Some textbooks describe a proportional relationship by saying that ” y varies proportionally with x ” or that ” y is directly proportional to x .”) This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

What is the equation relating X and Y together?

a. Because x and y vary directly, the equation is in the form y = kx. We can then solve for k by using the given values for x and y. The equation that relates x and y is y = 5x.

How do you solve y varies directly as the square of x?

If y varies directly with x, then we can express their relationship to one another using the following formula: y = kx, where k is a constant. Therefore, if y varies directly as the square of x and the cube of z, we can write the following analagous equation: y = kx2z3, where k is a constant.

What is the value of Z when X 2 and Y 4?

3

How do you solve variation problems?

Direct variation problems are solved using the equation y = kx. When dealing with word problems, you should consider using variables other than x and y, you should use variables that are relevant to the problem being solved.

How do you solve combined variation problems?

Combined variation problems are solved using a combination of variation equations. In this case, you will combine the direct and inverse variation equations, use r, l, and d instead of x, y, and z, and notice how the word “square” changes the equation.

How do you solve y KXZ?

Joint variation problems are solved using the equation y = kxz. In this case, you should use a, b, and c instead of x, y, and z and notice how the word “cubed” changes the equation. Step 2: Use the information given in the problem to find the value of k. In this case, you need to find k when a = 36, b = 4, and r = 6.

Which is an example of inverse variation?

For two quantities with inverse variation, as one quantity increases, the other quantity decreases. For example, when you travel to a particular location, as your speed increases, the time it takes to arrive at that location decreases. An inverse variation can be expressed by the equation xy=k or y=kx .