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Direct proportions may be represented by a straight line through the origin, with the equation y = kx. The gradient of the line is the constant of proportionality and is a measure of the change in the "dependent" variable for a unit change in the "independent" variable. In the case of an inverse proportionality, the graph is a hyperbola with the equation y = k/x. The constant of proportionality, k, is a measure of the change in the reciprocal of the "dependent" variable for a unit change in the "independent" variable.
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What does the graph of a proportional relationships look like?
A straight line with a positive slope, passing through the origin.
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 does graphing relationships help you determine whether the relationship is proportional or not?
If the points lie on a straight line through the origin, the two variables are in direct proportion.
Are speed and distance directly proportional or inversely proportional?
Directly proportional. Greater speed - greater distance.
If two quantities are (proportional nonproportional) they have a constant ratio.?
The answer is proportional.
What is true about ratios for proportional relationships that is not true about ratios for other relationships?
For proportional relationships the ratio is a constant.
Do linear graphs represent proportional relationships?
Do all linear graphs have proportional relationship
How are proportional and non proportional relationships similar?
They aren't.
What does proportional relationships mean?
a proportional relationship means that it is contributed equally into other parts or quantities
3-6 proportional and non-proportional relationships?
9
What are the different types of relationships that exist?
Directly proportional
summarize your findings of proportional relationships?
klnedjfuvcdusnxfmcidjnxfuvc9iu cjnioncij
To show proportional relationships with the largest component on the top or bottom?
pyramid
What are the answers to 6 grade ratios and proportional relationships?
rational number
What relationships are directly proportional?
the ones between the two fat people you just looked at
What is the definition of proportional relationships in graphs?
Either a straight line through the origin or a hyperbola.
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.
