Janitorial assistants at Woodward Mall start out earning $6 per hour.
However, the $75 cost of uniforms is deducted from the pay that they
earn.
a. Explain how the rule E = 6.00h – 75 shows how a new employee’s
earnings depend on the number of hours worked.
b. How many hours will a new employee have to work before
receiving a paycheck for some positive amount?
c. How many hours will a new employee have to work to earn pay of
$100 before taxes and other withholdings?
d. Sketch a graph of the rule relating pay earned to hours worked,
and label points with coordinates that provide answers to Parts b
and c.
7 Experiments with a bungee jump suggested the rule L = 30 + 0.2w
relating stretched length of the cord (in feet) to weight of the jumper
(in pounds).
a. What will be the stretched cord length for a jumper weighing
140 pounds?
b. What jumper weights will stretch the cord to a length of at most
65 feet?
c. Sketch a graph of the cord length relationship and label points
with coordinates that give answers to Parts a and b.
d. Study entries in a table of (w, L) values for w = 0 to w = 300 in
steps of 10. Try to figure out what the values 30 and 0.2 tell about
the bungee jump experience.
PLEASE HELP AND SHOW THE STEPS THIS IS A MATH 1 HONORS SO ITS RLLY IMPORTIANT IF YOUR NOT GONNA DO IT THEN DONT ANSWER THX <3333333

Respuesta :

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.

How to work with the given linear relation?

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:

https://brainly.com/question/1884491

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