Using a proportional relationship, it is found that Carlos earns an allowance of $7.5 for each chore that he completes.
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.
In this problem, the constant is:
k = 75/10 = 97.5/13 = 112.5/15 = 7.5.
Hence Carlos earns an allowance of $7.5 for each chore that he completes.
More can be learned about proportional relationships at https://brainly.com/question/10424180
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