4

Answer. the value of constant is 3.

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

Combined variation is a combination of direct and inverse variation: y=kx/z.

The equation for a linear direct variation is y = kx, where k is the slope of the line y = mx + b, and the y-intercept, or b, equals zero. Direct variations are very useful in the real world.

A direct variation is a proportional relationship (i.e., as one variable changes, the other variable changes at the same rate. The initial value is zero). A partial variation has an initial value that is not zero and a constant rate of change.

The point (0,y) is often the initial value of a linear function. The y value of the initial value comes from b in the slope intercept form of a linear function, f(x)=mx+b. The initial value can be found by solving for b, or substituting 0 for x in a linear function.

A linear equation in two variables can be described as a linear relationship between x and y, that is, two variables in which the value of one of them (usually y) depends on the value of the other one (usually x). In this case, x is the independent variable, and y depends on it, so y is called the dependent variable.

direct variation

Step 1: Write the correct equation. Joint variation problems are solved using the equation y = kxz. In this case, you should use p, q, and r instead of x, y, and z and notice how the word “squared” changes the equation. Step 2: Use the information given in the problem to find the value of k.

Joint variation is just like direct variation, but it involves two or more variables: y=k(xz). Combined variation is a combination of direct and inverse variation: y=kx/z.

Six step guide to help you solve problems

1. Step 1: Identify and define the problem. State the problem as clearly as possible.
2. Step 2: Generate possible solutions.
3. Step 3: Evaluate alternatives.
4. Step 4: Decide on a solution.
5. Step 5: Implement the solution.
6. Step 6: Evaluate the outcome.

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

Combined variation describes a situation where a variable depends on two (or more) other variables, and varies directly with some of them and varies inversely with others (when the rest of the variables are held constant).

Some examples of direct variation problems in real life: The number of hours you work and the amount of your paycheck. The amount of weight on a spring and the distance the spring will stretch. The speed of a car and the distance traveled in a certain amount of time.

Advantage of Variation The advantage of having variation within a population is that some individuals will be better adapted to their environment than others. Those individuals who are not well adapted to their environment are less likely to survive and reproduce.

Major causes of variation include mutations, gene flow, and sexual reproduction. DNA mutation causes genetic variation by altering the genes of individuals in a population. Gene flow leads to genetic variation as new individuals with different gene combinations migrate into a population.

And clearly hair color, skin color and eye color all fall under the definition of a continuous trait, because even though they dont seem to be affected by the environment, they are definitely polygenic traits and show a gradation, so they’re definitely continuous traits.