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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)
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How do you locate rate of change on a graph?
Find the slope of the tangent to the graph at the point of interest.
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.
How do you determine if a rate of change is constant?
You can determine if a rate of change is constant, by taking the instantaneous rate of change at multiple points - if they are all equal to each other, it can be assumed that the rate of change is constant. Alternatively, you can differentiate the function (if there is an associated function) - if this comes to a constant i.e. a number, then the rate of change is constant.
Why can slope be referred to as rate of change?
Slope can be referred to by rate of change because it is the rate that x changes compared to y on a graph.
What is constant rate of change?
When something has a constant rate of change it means that it has a linear graph. The function can be written in the slope intercept form of y = mx + b.
What characteristic of a graph represents the rate of change?
The slope of a graph.
What does a shallow slope on a graph say about the rate of change?
A low rate of change.
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
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.
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.
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.
What does the slope mean on a line graph?
Rate of change of the "vertical" variable in relation to the "horizontal" variable.
What does the slope of a line tell you on a graph?
the rate of change on the line.
How do you know if a function has a constant or variable 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.
How do you find the rate of change from graphs?
Differentiate the graph with respect to time.
