Respuesta :
Direct Variation is defined as the relationship between two variables in which one is a constant multiple of the other. The given example is a Direct variation.
What is a direct variation?
Direct Variation is defined as the relationship between two variables in which one is a constant multiple of the other.
For example, when one variable affects the other, they are said to be in proportion. If b is directly proportional to a, the equation is of the form,
b = ka (where k is a constant).
Given that Courtney worked 20 hours last week and made $250. Therefore, the unit rate per hour for Courtney is,
Unit rate = Amount made by Courtney / Total time
= $250 / 20 hours
= $12.5 per hour
Also, given that this week Courtney worked 26 hours and made $325. Therefore, the unit rate per hour this week for Courtney is,
Unit rate for this week = Amount made by Courtney / Total time
= $325 / 26 hours
= $12.5 per hour
Since the unit rate is the same for both weeks, therefore, the given example is a Direct variation.
Learn more about Direct Variation here:
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