suppose you earn 5.50/h at a bakery. From your first paycheck you discover that $1.15/h is withheld for taxes and benefits. you work x hours in a five day week and you spend $3.75 each day on lunch.
Write an equationfor your earnings for a 5 day week after taxes and expenses.
In this situation what does the slope represent?y inercept?
How many hours must you work to earn $120 after taxes and expenses?
I will be happy to critique your work on this.
So your net salary is 5.50 - 1.15 /h
= 4.35/h
you work x hours in a 5 day week
4.35x - 5*3.75
4.35x - 18.75 = earnings per 5 day week
the slope, (4.35) shows your hourly wage after tax.
The y intercept (-18.75) represents your expenses per week.
To answer the last question I will assume you are asking how many hours in 1 week must you work to earn $120.
Substitute 120 as the answer to the equation
4.35x-18.75 = 120
4.35x = 138.75
x = 138.75/4.35
x = 31.89
x = 32 as you don't get paid . for 0.89 of 1 hour
where did u get the 4.35 from ?
Your initial calculations are correct. The equation for your earnings for a 5-day week after taxes and expenses is:
Earnings = 4.35x - 18.75
In this equation, "x" represents the number of hours you work during the week.
The slope of the equation, which is 4.35, represents your hourly wage after taxes. It shows how much you earn for each hour worked after accounting for the taxes and benefits withheld.
The y-intercept, which is -18.75, represents your expenses per week. It includes the cost of lunch, which is $3.75 per day for 5 days.
To find out how many hours you need to work to earn $120 after taxes and expenses, you can substitute $120 as the value for "Earnings" in the equation:
4.35x - 18.75 = 120
Solving for "x", you get:
4.35x = 120 + 18.75
4.35x = 138.75
x = 138.75 / 4.35
x ≈ 31.89
Since you can't work fractional hours, you would need to work approximately 32 hours to earn $120 after taxes and expenses.