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Bezzdna [24]
3 years ago
12

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.
Mathematics
1 answer:
Tamiku [17]3 years ago
3 0

Answer:

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 k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>

In this problem we have

e=12h+5

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 m=\$12\ per\ hour

The y-intercept is b=\$5

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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