What does varies directly mean in math?

A function is said to vary directly if the change in the value of the function is equal to the number you plug in multiplied by the change in the independent variable. If you plug in a positive number, the function will increase as the independent variable increases.

What does varying directly mean in science?

In mathematics, varying directly means that the ratio between the changes in one variable and the changes in another stays the same. For instance, if the volume of a box is multiplied by a number, then the ratio between the change in the length of the box and the change in the width of the box will stay the same. This is what varying directly means in the context of geometry and algebra.

What does vary directly mean in word problem?

A word problem that involves the word "varies" is one in which you know the total amount of one variable, but you don't know the value of the variable. For instance, you might know how many apples you have in your kitchen, but you don't know the number of quarters in your piggy bank. If you're solving for the number of quarters you have in your piggy bank, you know how many quarters will make up the difference between the number of quarters in your piggy

What does varying directly mean in geometry?

Geometric proofs often use varying directly to show that the two sides of an equation are equal. If you take a line segment and increase its length by a fixed amount, the area of the resulting shape will increase by a fixed amount as well. This is especially important when working with triangles, because you can use varying directly to prove that the area of the triangle will increase by an equal amount if you increase any of the triangle’s sides by the same amount. This is known as the Pyth

What does varying directly mean in SAT answers?

When two variables are related in a direct way, their graphs line up perfectly, so that an increase in one variable results in an increase in the other. If you take the derivative of an increasing function, you get a line that looks like the graph of a line. If two variables are related in a direct way, their derivatives will line up perfectly.