Difference between revisions of "Directly Proportional"
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===About Direct Proportionality=== | ===About Direct Proportionality=== | ||
| − | : A [[Scatter Graph|scatter graph]] showing a '''directly proportional''' relationship has a [[linear]] [[gradient]] that passes through zero | + | : A [[Scatter Graph|scatter graph]] showing a '''directly proportional''' relationship has line with a [[linear]] [[gradient]] that passes through zero (it has a [[y-intercept]] of zero). |
: On a [[proportional]] [[Scatter Graph|scatter graph]] when one [[variable]] doubles, the other doubles or when one triples the other triples. | : On a [[proportional]] [[Scatter Graph|scatter graph]] when one [[variable]] doubles, the other doubles or when one triples the other triples. | ||
| + | : When two variables are '''directly proportional''' when any value for y is divided by its corresponding value for x it will always give a constant value. | ||
| + | : Two variables are said to be '''directly proportional''' when they always vary by the same ratio. | ||
| + | |||
| + | ===Exam Marks=== | ||
| + | : Straight line [1 mark] | ||
| + | : Passing through zero / passing through the origin [1 mark] | ||
===Examples=== | ===Examples=== | ||
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:[https://www.amazon.co.uk/gp/product/019835939X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=019835939X&linkCode=as2&tag=nrjc-21&linkId=57e96876985fc39b1a3d8a3e3dc238b6 ''Directly proportional, pages 158-159, 282, GCSE Physics; Third Edition, Oxford University Press, AQA ''] | :[https://www.amazon.co.uk/gp/product/019835939X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=019835939X&linkCode=as2&tag=nrjc-21&linkId=57e96876985fc39b1a3d8a3e3dc238b6 ''Directly proportional, pages 158-159, 282, GCSE Physics; Third Edition, Oxford University Press, AQA ''] | ||
| + | ====Edexcel==== | ||
| − | + | :[https://www.amazon.co.uk/gp/product/1292120193/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120193&linkCode=as2&tag=nrjc-21&linkId=572df39392fb4200db8391d98ae6314e ''Direct proportional, page 427, GCSE Combined Science, Pearson Edexcel ''] | |
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| − | :[https://www.amazon.co.uk/gp/product/ | ||
Latest revision as of 15:24, 5 December 2021
Contents
Key Stage 4
Meaning
When two variables are directly proportional when one variable is multiplied by a factor, the other variable is multiplied by the same factor.
About Direct Proportionality
- A scatter graph showing a directly proportional relationship has line with a linear gradient that passes through zero (it has a y-intercept of zero).
- On a proportional scatter graph when one variable doubles, the other doubles or when one triples the other triples.
- When two variables are directly proportional when any value for y is divided by its corresponding value for x it will always give a constant value.
- Two variables are said to be directly proportional when they always vary by the same ratio.
Exam Marks
- Straight line [1 mark]
- Passing through zero / passing through the origin [1 mark]
Examples
 |
This scatter graph shows a linear relationship that is directly proportional where x doubles, y doubles.
\(y = mx\) Where m, the gradient, is positive. |
References
AQA
- Directly proportional, pages 158-159, 282, GCSE Physics; Third Edition, Oxford University Press, AQA