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The slope of a graph.

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Q: What characteristic of a graph represents the rate of change?
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What does a shallow slope on a graph say about the rate of change?

A low rate of change.


The slope of velocity versus time graph gives?

If your graph shows velocity on the vertical axis and time on the horizontal axis, then the slope of the graph represents the acceleration. More specifically, the slope of the graph at a specific point represents the acceleration at that instantaneous point in time. So if the slope of the graph doesn't change (i.e. the graph is a straight line), then the acceleration is constant and doesn't change over time. In calculus, this is represented as the derivative: The derivative of velocity with respect to time equals the acceleration.


On a graph of population growth the size of the population when the growth rate decreases to zero represents an area's?

On a graph of population growth the size of the population when the growth rate decreases to zero represents an area's carrying capacity.


How do you change a time graph into a rate graph?

differentiate with respect to time.


How do you figure how the rate of change by looking at a graph?

formula to figure out the rate of change of a line on a graph m= y2-y1/x2-x1


How do you determine the rate of change in a graph?

Rate of change is essentially the same as the slope of a graph, that is change in y divided by change in x. If the graph is a straight-line, the slope can be easily calculated with the formula:Vertical change ÷ horizontal change = (y2 - y1) / (x2 - x1)


Why do you need slope?

Slopes give you the rate of change. On a distance vs. time graph the rate of change (i.e. the slope) is the velocity. On a Velovity vs. Time graph the rate of change is the acceleration. etc.


What is the slope of the line tangent to the curve on a position-time graph at a specific time?

The slope of the tangent line in a position vs. time graph is the velocity of an object. Velocity is the rate of change of position, and on a graph, slope is the rate of change of the function. We can use the slope to determine the velocity at any point on the graph. This works best with calculus. Take the derivative of the position function with respect to time. You can then plug in any value for x, and get the velocity of the object.


How do you tell whether a graph shows a constant or variable rate of change?

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.


How do you locate rate of change on a graph?

Find the slope of the tangent to the graph at the point of interest.


What is the characteristics of a rate?

It represents a direct proportion and whose graph is a straight line through the origin.


If Jenny's car uses less gas per mile driven than Sandra's truck how does the graph representing the rate of change of Sandra's truck compare to the graph representing the rate of change of Jenny's ca?

The answer depends on the rate of change of WHAT? The rate of change of the gas used? the rate of change of the gas left, the rate of change of the range that the vehicle will go? The question is too vague.