Using a proportional relationship, it is found that Alexa makes $146.45 in 5.5 hours.
What is a proportional relationship?
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
The constant in this problem is:
k = 213.6/8 = 427.2/16 = 827.7/31 = 26.7.
Hence her earnings for x hours of work is:
y = 26.7x.
For 5.5 hours of work, her earnings are:
y = 26.7(5.5) = $146.45.
More can be learned about proportional relationships at https://brainly.com/question/10424180
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