Sophia earns $12 per hour working in an office plus $5 dollars for parking fees. she uses the function e = 12h + 5 to represents her daily earnings, where e represents her earnings and h represents the number of hours she works. explain whether or not the function has a proportional relationship

The given function is not a proportional relationship

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

This is the equation of the line in slope intercept form

where

e ---> represents her daily earnings

h ---> represents the number of hours she works

we have

The slope is equal to

The y-intercept is

Remember that

In a proportional relationship the y-intercept is equal to zero, because the line passes through the origin

In this problem, the y-intercept is not equal to zero, so this line don't pass through the origin

therefore

The given function is not a proportional relationship

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step-by-step explanation: