# Write a direct variation equation that relates x and y Here is the graph. This gives us 10 inches for the diameter.

### Inverse variation equation

When solving word problems, remember to include units in your final answer. Example 6: The circumference of a circle C varies directly with its diameter. This gives us 10 inches for the diameter. Example 3: Tell whether if y directly varies with x in the table. The problem tells us that the circumference of a circle varies directly with its diameter, we can write the following equation of direct proportionality instead. Step 2: Use the information given in the problem to find the value of k, called the constant of variation or the constant of proportionality. If a ball falls feet in three seconds, how far will the ball fall in seven seconds? 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. If a force of newtons stretches a spring 5 cm, how much will a force of newtons stretch the same spring? If yes, write an equation to represent direct variation.

In this case, you should use d for distance and f for force instead of x and y. Notice, k is replaced by the numerical value 3. If a circle with the diameter of 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.

The problem tells us that the circumference of a circle varies directly with its diameter, we can write the following equation of direct proportionality instead.

## Write a direct variation equation that relates x and y

Since we always arrived at the same value of 2 when dividing y by x, we can claim that y varies directly with x. Step 1: Write the correct equation. In this case, you should use d for distance and f for force instead of x and y. 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. By having a negative value of k implies that the line has a negative slope. In order for it to be a direct variation, they should all have the same k-value. If a circle with the diameter of If yes, write the equation that shows direct variation. This gives us 10 inches for the diameter. If yes, write an equation to represent direct variation. But we can use it to come up with a similar set-up depending on what the problem is asking. Solution: To show that y varies directly with x, we need to verify if dividing y by x always gives us the same value. Example 6: The circumference of a circle C varies directly with its diameter. What is the diameter of the circle with a radius of 7 inches?

If a force of newtons stretches a spring 5 cm, how much will a force of newtons stretch the same spring? But we can use it to come up with a similar set-up depending on what the problem is asking.

## Inverse variation

Solution: Divide each value of y by the corresponding value of x. If yes, write an equation to represent the direct variation. Solution: To show that y varies directly with x, we need to verify if dividing y by x always gives us the same value. If a circle with the diameter of If a force of newtons stretches a spring 5 cm, how much will a force of newtons stretch the same spring? By having a negative value of k implies that the line has a negative slope. You might also be interested in:.

Step 2: Use the information given in the problem to find the value of k, called the constant of variation or the constant of proportionality. Since we always arrived at the same value of 2 when dividing y by x, we can claim that y varies directly with x.

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