Sherman bought a new house. Over a 5 month period, he has paid $350 to his neighborhood homeowners association in monthly fees. Which representation shows the relationship between x, the number of months, and y, the fees Sherman has paid to the homeowners association?

Respuesta :

The proportional relationship between the fees paid and the number of months is given by:

y = 70x.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality, in the case of a direct relationship, as follows:

y = kx

In the case of an inverse relationship, we have that:

y = k/x.

k is the constant of proportionality for both cases.

For this problem, the time and the fees are direct proportional, that is, the fee increases as the number of months increase.

Over a 5 month period, he has paid $350 to his neighborhood homeowners association in monthly fees, hence the constant is found as follows:

k = 350/5 = 70.

Hence the proportional relationship between the fees paid and the number of months is given by:

y = 70x.

More can be learned about proportional relationships at https://brainly.com/question/10424180

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Answer:

Step-by-step explanation:

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