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)
Find the slope of the tangent to the graph at the point of interest.
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.
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.
Slope can be referred to by rate of change because it is the rate that x changes compared to y on a graph.
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.
To determine the rate constant from a graph, you can use the slope of the line in a first-order reaction plot. The rate constant is equal to the negative slope of the line, which can be calculated by dividing the change in concentration by the change in time.
The slope of a graph.
To determine the rate-determining step from a graph, look for the slowest step where the rate of reaction is the lowest. This step will have the highest activation energy and will be the one that controls the overall rate of the reaction.
A low rate of change.
To determine the rate-determining step from a graph, look for the slowest step where the rate of reaction is the lowest. This step will have the highest activation energy and will be the one that controls the overall rate of the reaction.
differentiate with respect to time.
formula to figure out the rate of change of a line on a graph m= y2-y1/x2-x1
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.
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.
To determine the initial rate of reaction from a table, you can look at the change in concentration of reactants over time. By calculating the slope of the initial linear portion of the concentration vs. time graph, you can find the initial rate of reaction.
Find the slope of the tangent to the graph at the point of interest.
To determine velocity from a position-time graph, you can find the slope of the graph at a specific point. The slope represents the rate of change of position, which is the velocity at that point. A steeper slope indicates a higher velocity, while a flatter slope indicates a lower velocity.