Tell whether the equation -4x+ 2y = -2 represents a direct variation. If so, identify the constant of variation.
rate of change. :)
rate of change. :)
If the graph is a non-vertical straight line, then the rate of change is constant. If the line is curved, then the rate of change (slope) varies.
if a number can change randomly it is called a variable
A table shows a constant rate of change when the difference between consecutive values in one column (typically the dependent variable) is consistent as the values in another column (the independent variable) increase or decrease. For example, if a table lists values where each increase in the independent variable results in the dependent variable increasing by the same amount, it indicates a constant rate of change. This is often seen in linear relationships.
rate of change. :)
rate of change. :)
Rate of Change
The variable will change at a constant rate. Its pattern will never be broken or changed throughout its process.
If the graph is a non-vertical straight line, then the rate of change is constant. If the line is curved, then the rate of change (slope) varies.
if a number can change randomly it is called a variable
0 A derivative is the rate of change of a function as another variable changes. As there is no change to a constant, the derivative is necessarily 0.
A constant rate on a graph is typically represented by a straight, diagonal line. This indicates that the change in one variable is consistent with respect to the change in another variable, such as time. For example, if you graph distance versus time for an object moving at a steady speed, the slope of the line remains constant, reflecting the constant rate of motion.
You have already assumed the information in the table is linear in nature. Given that information, the constant rate of change is the ratio of the amount of change in the dependent variable compared to the amount of change of the independent variable. Put a simpler way, it is change in y divided by change in x.
The differentiation of a constant is zero because a constant value does not change with respect to the variable being differentiated. The derivative measures the rate of change of a function, and since a constant has no change, its derivative is zero.
It is usually a measure of how much one variable changes relative to changes in other variable(s). The pressure of an ideal gas depends on its temperature and volume. There are rates of change for pressurerelative to the temperature (with volume held constant),relative to the volume (with temperature held constant), anda multivariate rate of change when both can vary.Next, the rate of change need not be constant. For a body in accelerated motion, the rate of change of location (its velocity) varies with the acceleration. And that, in turn could vary with the force acting on the body.
The slope of each point on the line on the graph is the rate of change at that point. If the graph is a straight line, then its slope is constant. If the graph is a curved line, then its slope changes.