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Integers in the Real World Paper

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Integers in the Real World Paper

Research jobs using your degree and identify a job you would be interested in. Use a website like Glassdoor.com to determine the salary for the job you are interested in. Then, Determine the hourly pay amount based on what is given. Be sure to cite your source in the worksheet and your report.

I want to become an educational accountant in one of the firms operating in the U.S. because I am qualified to undertake educational accounting jobs. The average hourly salary of an accountant in the U.S, according to Salary.com (2022), is $28.

Write an equation to express how much money you would make if you worked h. Where I equal income:

I= income

h= number of hours worked

r= hourly pay rate

i= h × r

i= h × $28

Would you consider your income to be a positive or a negative integer? Why?

My income would be considered to be a positive integer. It would be a positive integer because it will be higher than zero.

How many hours would you need to work to earn $400 per week (assume overtime is paid at the regular hourly rate)?

To earn $400 per week, I must work a total number of hours given by $400 divided by the hourly pay rate. It will be given by;

$400/28= 14.28 hours

Rounding off to the nearest hour = 15 hours

Let’s assume your car is paid off, but you must pay gas and budget for driving to and from your new job. Find out the local gas price and write an equation to describe the gas price for g, Where M is the amount of money you spend on gas weekly. Estimate the mileage to your new job each week and explain the weekly gas cost for your budget.

M= local gas price per gallon × number of gallons used

The distance traveled to work is 10 miles, and because I travel to and from each day, I will cover 20 miles daily. A week has five working days, so I will cover (5 days × 20 miles) = 100 miles a week.

The gas expense per gallon is $22.50, and the miles traveled for each is 5 miles per gallon. The weekly gas expenditure will be given by the number of gallons consumed each week multiplied by the price per gallon;

Gallons consumed each week = 100 miles/5 miles per gallon = 20 gallons

Weekly gas expense = 20 gallons × $22.50 = $450

Would the gas cost be considered a positive or a negative integer? Why?

The gas cost would be considered a negative integer because it deducts the earned salary as an expense. The deduction moves my salary in the zero direction.

Write an expression that calculates your weekly balance in your account based on a 40-hour work week and accounting for the gas amount. Show integers as positive or negative.

Let:

Now, determine your monthly gas cost for your trip to work. To do this, assume four weeks in a month and use positive or negative integers as needed. Show all your work!

Wage in 4 weeks = $1120 × 4 =$4,480 (positive integer)

Gas expense in 4 weeks= $450 × 4 = $1,800 (negative integer)

Identify other expenses, such as rent, utilities, etc. Estimate amounts for these and complete a monthly budget showing your balance at the end of the month with all income and expenses accounted for.

Transactions Debit (positive integer) Credit (Negative integer)
Income for the month $4,480
Rent $1,000
Utilities $600
Water $200
Gas expense $1,800
Total expenses ($3,600)
Balance at the end of the month $880
Write your report using the information you found in items 1-9. Start your report with an introductory paragraph on positive and negative integers. Be sure to explain why it is important to identify numbers as positive or negative when working with a budget. Then, in the body of your report, explain your findings in 1-9. Last, in a conclusion paragraph, explain what this exercise has taught you about your finances after graduation and how integers are used in everyday life.

The information presented in this report gives insight into using integers in real life regarding calculating salary for a prospective job and paying various expenses. Essentially, both positive and negative integers are used in the calculation. Positive integers are identified with the monthly salary, while negative integers are identified with expenses. According to Yu et al. (2022), integers are complete numbers devoid of fractions. Positive integers have an additional aspect, while negative integers have a subtraction effect. When given in a number line, positive integers are on the right side of zero, while negative integers are on the negative side of zero. Integers are essential when working with budgets because they help add incomes and subtract expenditures correctly.

The salary for an accountant in the United States is an average of $28 per hour, according to the Salary.com website. Since it is my job of interest, the information was used to answer and establish findings for items 1-9. In the first item, an accountant’s hourly rate was $28. On the second item, an equation expressing the money I will likely make if I work for h hours is established as I (income) = h × $28. In the third item, the potential income I am likely to earn is considered a positive integer because it increases money in my bank balance. The fourth item considers how much work I would be required to earn $400 weekly. The hours required are estimated to be approximately 15.

In the fifth item, the distance I am supposed to travel a week is calculated to establish the gas expense I will incur. I will incur a gas expense of $450 per week from the calculation. In the sixth item, the gas expense is considered a negative integer because it reduces my bank balance and drives it toward zero. In the seventh item, an expression that calculates my balance for a week of 40 hours is written. It is given as B= W+ (-E), whereby B represents the balance, W represents the weekly pay, and (-E) represents the gas expense. Solving the equation for my case indicates a weekly balance of $670. In the eighth item, the monthly gas expense I require is computed as $450 × 4 weeks. It is established to be $1,800. Finally, a budget of expenses I will be paying in a month is created, and a balance is shown by subtracting the expenses from the monthly payments. A monthly balance of $880 is established.

In conclusion, this exercise taught me about using integers in real life. Notably, integers help estimate and establish the possible expenditures and incomes I am likely to incur and the potential balance at the end of the month. They will become an integral part of handling finances after school because they allow me to control my finances regarding expenditures. As a result, I anticipate efficiency and effectiveness in handling my financial aspects.

References

Khalid, M., & Embong, Z. (2019). Sources and possible causes of errors and misconceptions in operations of integers. International Electronic Journal of Mathematics Education, 15(2), em0568.

Salary.com (2022). The hourly wage for Public Accountants. https://www.salary.com/research/salary/recruiting/public-accountant-hourly-wages/.

Yu, S., Kim, D., Fitzsimmons, C. J., Mielicki, M. K., Thompson, C. A., & Opfer, J. E. (2022). From integers to fractions: The role of analogy in developing a coherent understanding of proportional magnitude. Developmental Psychology. https://doi.org/10.1037/dev0001398.

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Question 

In this worksheet, you must answer each question fully and show all your work. Then, use your findings to write your 2-page report on your findings.

Integers in the Real World Paper

  1. Research jobs using your degree and identify a job you would be interested in. Use a website like Glassdoor.com to determine the salary for the job you are interested in. Then, FinDeterminee’s hourly pay amount is based on what is given. Be sure to cite your source in the worksheet and your report.
  2. Write an equation to express how much money you would make if you worked h. Where I equal income:
  3. Would you consider your income to be a positive or a negative integer? Why?
  4. How many hours would you need to work to earn $400 per week (assume overtime is paid at the regular hourly rate)?
  5. Now, let’s assume that your car is currently paid off, but you have a budget for gas and a budget for driving to and from your new job. Find out the local gas price and write an equation to describe the gas price for g, Where M is the amount of money you spend on gas. Weekly, estimate the mileage to your new job each week and explain the weekly gas cost for your budget.
  6. Would the gas cost be considered a positive or a negative integer? Why?
  7. Write an expression that calculates your weekly balance in your account based on a 40-hour work week and accounts for the gas amount. Show integers as positive or negative.
  8. Now, determine your monthly gas cost for your trip to work. To do this, assume four weeks a month and use positive or negative integers as needed. Show all your work!
  9. Identify other expenses, such as rent, utilities, etc. Estimate amounts for these and complete a monthly budget showing your balance at the end of the month with all income and expenses accounted for.
  10. Write your report using the information you found in items 1-9. Start your report with an introductory paragraph on positive and negative integers. Be sure to explain why it is important to identify numbers as positive or negative when working with a budget. Then, in the body of your report, explain your findings in 1-9. Last, in a conclusion paragraph, explain what this exercise has taught you about your finances after graduation and how integers are used in everyday life.
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