For the given linear equation E = 6.00*h - 75
We will have:
a) The equation represents the earnings (E) as a function of the number of hours worked (h).
b) After 12.5 hours of work.
c) after 29.17 hours of work.
d) The graph can be seen in the image below.
a) The linear equation here is:
E = 6.00*h - 75
This equation shows the earnings (E, in dollars) as a function of the number of hours worked (h). This is because we know that the assistants win $6 per hour, and they must pay $75 for their uniforms.
b) To have a positive amount, we need to solve:
0 = 6.00*h - 75
75 = 6.00*h
75/6 = h = 12.5
This means that the employees will have a positive paycheck after 12.5 hours of work.
c) Now we need to solve:
100 = 6*h - 75
100 + 75 = 6*h
175 = 6*h
175/6 = h = 29.17
They need to work 29.17 hours.
d) The graph of the linear relation can be seen in the image below:
If you want to learn more about linear equations:
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