What 'Directly Proportional' Means

This lesson covers:

  1. What 'directly proportional' means 
  2. What direct proportional relationships look like on a graph

If two variables are said to be 'directly proportional', what does it mean?

One variable is always proportional to the square root of the other variable 

As one variable increases the other variable increases at the same rate 

As one variable increases the other variable decreases at the same rate 

One variable is always proportional to the square of the other variable 

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Is the relationship described below directly proportional?


'The time a car travels at a fixed speed, and the total distance it travels.'

Directly proportional 

Not directly proportional

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Which of the graphs below depict a directly proportional relationship?

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A tree surgeon spends an afternoon cutting unsafe branches from a tree. The number of hours he works is directly proportional to the number of branches he cuts. After 1 hour he has cut 4 branches.


How many branches will he cut in 3 hours? 

12

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Is the following relationship directly proportional?


'The number of people cleaning a house, and the time it takes to finish cleaning'

Not directly proportional

Directly proportional 

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