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What are the properties of proportional and non-proportional tables and graphs?
If two quantities are proportional, then they have a constant ratio.If the ratio is not constant, the two quantities are said to be non-proportional.Proportional will always go through the origin on a graph. (0,0)Graph will always be a straight line.Non-proportional line does not go through the origin.
How do you know a graph shows a proportional relationship?
A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0). This indicates that as one variable increases, the other variable increases at a constant rate. Additionally, the ratio of the two variables remains constant throughout the graph. If the line is not straight or does not pass through the origin, the relationship is not proportional.
How can you tell the difference between a graph in which one variable is directly proportional to another and a graph in which two variables vary inversely?
1. You can tell the difference because the proportional one has the same slope while the inversely one has opposite reciprocal slope.
Do all linear equations need to be proportional?
No.A directly proportional graph has an equation of the form y = mx. It always passes through the origin.A linear graph will have an equation in the from y = mx + c. This has a y-intercept at (0, c). It doesn't pass through the origin unless c = 0. The directly proportional graph is a special case of a linear graph.
What is directly and invertly related on a graph?
The x value and the y value are directly and invertly related on a graph. This only occurs in a specific type of graph called a proportional graph.
What are the properties of proportional and non-proportional tables and graphs?
If two quantities are proportional, then they have a constant ratio.If the ratio is not constant, the two quantities are said to be non-proportional.Proportional will always go through the origin on a graph. (0,0)Graph will always be a straight line.Non-proportional line does not go through the origin.
What is the graph of two variables that are directly proportional to one another is?
a straight line
How do you know if a graph is proportional?
It is a graph of a proportional relationship if it is either: a straight lie through the origin, ora rectangular hyperbola.
Does the graph represent a proportional or non-proportional liner relationship How do you know?
If the graph is a straight line through the origin, sloping upwards to the right, then it is a proportional linear relationship.
What are the two way to determine if the relationship between two quantities are proportional?
Graphical: If two variables are proportional, the graph of one of the variables against the other is a straight line through the origin.Algebraic: If the ratio of the two variables is a constant.
Which are the characteristics of proportional relationship graph?
A straight line through the origin, and with a positive gradient (sloping from bottom left to top right).
How do you know a graph shows a proportional relationship?
A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0). This indicates that as one variable increases, the other variable increases at a constant rate. Additionally, the ratio of the two variables remains constant throughout the graph. If the line is not straight or does not pass through the origin, the relationship is not proportional.
What is an inversely proportional graph?
An inversely proportional graph is one where the relationship between two variables is such that as one variable increases, the other variable decreases at a constant rate. This relationship is usually represented by a curve that slopes downwards from left to right.
What is the relationship among proportional relationships lines rates of change and slope?
For each of the following relationships, graph the proportional relationship between the two quantities, write the equation representing the relationship, and describe how the unit rate, or slope is represented on the graph.
How can you tell the difference between a graph in which one variable is directly proportional to another and a graph in which two variables vary inversely?
1. You can tell the difference because the proportional one has the same slope while the inversely one has opposite reciprocal slope.
How can you tell from the graph of Molly's garden on the previous slide that it represents a proportional relationship?
The graph of a proportional relationship has the same unit rate, is a straight line, and starts at the origin.
Why do inversely proportional functions have asymptotes?
Because the two variables cannot be zero voltage = current*resistance if we draw graph current against resistance we would see a exponential graph which means the two variables are inversely proportional but either cannot be zero because voltage is not equal to 0 n.j.p
