Question

Medal for anyone who gets me my answer right!

Answer 1

A local store owner pays her employees time-and-a-half for overtime. That means if an employee works more than 40 hours per week, the store will pay him 1.5 times his regular hourly wage of $6.50

a) Write and graph a piecewise function that illustrates an employee's weekly pay, W, as a function of the number of hours, h, that employee works.
b) Determine how much an employee will be paid if he were to work 50 hours in a week.

Answer 2

@Englishguy @imqwerty

Answer 3

@deeznutzforlife
This guy can help you out
I am horrible at math

Answer 4

Regular pay = $6.50/hr
Overtime pay = 1.5 * $6.50/hr = $9.75/hr

W(h) = 6.50 h, 0 ≤ h ≤ 40
......... = 9.75 h, h > 40

Answer 5

ok... so how would i graph that out....
sorry... I'm really bad at math...
@chase0858

Answer 6

I will do an example problem, similar to yours. (the problem is made up)

Let's say that I am a pharmacist and I make 50 dollars per hour, and I have to work 45 hours a week. When I work for more than 45 hours (a week), then for each additional hour I get 1.3 times the regular payment.

What would be a (piece-wise) function that models my payment?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
It would make sense to set:
x - number of hours worked in a week.
y - the payment for x hours.

Then, I get the following result:

When \(\color{#000000 }{ \displaystyle x\le 45 }\) (45 hours or less - the norm)
then my payment is: \(\color{#000000 }{ \displaystyle y=45x }\)

When \(\color{#000000 }{ \displaystyle x>45 }\) (more than 45 hours - above norm)
then my payment is: \(\color{#000000 }{ \displaystyle y=(45\times 1.3)x }\)
(Note than 45×1.3=52)

So, I can say that:

\(\LARGE\color{black}{ f(x) = \begin{cases} & 45x,~~~{\large x\le 45} \\ & 52x,~~~{\large x>45} \end{cases} }\)