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What does a shallow slope on a graph say about the rate of change?
A low rate of change.
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 find unit rate on a graph?
To find the unit rate on a graph, identify two points on the line representing the data. Calculate the change in the vertical direction (rise) and the change in the horizontal direction (run) between these points. The unit rate is then found by dividing the change in the vertical direction by the change in the horizontal direction, which gives you the slope of the line. This slope represents the unit rate, indicating how much the dependent variable changes for each unit change in the independent variable.
How can you find the unit rate of constant of proportionality for a relationship represented in a graph?
To find the unit rate or constant of proportionality from a graph, identify two points on the line that represents the proportional relationship. Calculate the change in the y-values (output) and the change in the x-values (input) between these two points. The constant of proportionality is then found by dividing the change in y by the change in x, resulting in the slope of the line. This slope indicates the unit rate of the relationship.
How is rate of change related to slope?
The rate of change is a measure of how a quantity changes in relation to another quantity, often expressed as a ratio. In the context of a linear function, the slope of the line represents this rate of change, indicating how much the dependent variable changes for a unit change in the independent variable. Therefore, the slope is essentially a specific numerical representation of the rate of change at any point along a linear graph.
Does the slope of a speed-versus-time graph represents acceleration?
No, the slope of a speed-versus-time graph represents the rate of change of speed, not acceleration. Acceleration is represented by the slope of a velocity-versus-time graph.
Is acceleration the slope of velocity vs time graph?
No, acceleration is the rate of change of velocity with respect to time. It is the derivative of the velocity function, not the slope of the velocity vs. time graph. The slope of the velocity vs. time graph represents the rate of change of velocity, not acceleration.
What does the slope s-t graph indicates?
The slope of a line on a graph represents the rate of change between two variables. A steeper slope indicates a faster rate of change, while a shallower slope indicates a slower rate of change. The slope can provide information about the relationship between the variables being compared.
Acceleration is the slope of the velocity vs time graph?
No, acceleration is the rate of change of velocity with respect to time. It represents how quickly an object's velocity is changing over time, whereas the slope of the velocity vs. time graph represents the change in velocity over time.
What does the slope of an acceleration time graph indicate?
The slope of an acceleration-time graph represents the rate of change of acceleration over time. A steeper slope indicates a faster rate of acceleration, while a less steep slope indicates a slower rate of acceleration.
Acceleration can be found by computing the slope of what vs. time graph.?
Acceleration can be found by computing the slope of a velocity vs. time graph. Acceleration is the rate of change of velocity over time, so the slope of a velocity vs. time graph represents this change in velocity.
What does a shallow slope on a graph say about the rate of change?
A low rate of change.
What does the slope of a speed-time graph represent?
The slope of a speed-time graph represents acceleration. A steeper slope indicates a greater rate of change in speed, which means higher acceleration. Conversely, a shallower slope indicates lower acceleration.
How do you change a time graph into a rate graph?
differentiate with respect to time.
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 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 to find the velocity of a position-time graph?
To find the velocity of a position-time graph, you calculate the slope of the graph at a specific point. The slope represents the rate of change of position with respect to time, which is the velocity. The steeper the slope, the greater the velocity.
