Question

a. determine what variable quantity or quantities represent input and what variable quantity represents the output; b. choose appropriate letters to represent each variable quantity and write what each letter represents; c. use the letters to translate each verbal rule into a symbolic formula; d. use the formula to determine the result.Net pay is the difference between a worker's gross income and his or her deductions. A person's gross income for the year was 65,000 dollar and the total deductions were 12,860 dollar. What was the net pay for the year?

Short answer

Answer: The net pay for the year is 52,140 dollars.

Step-by-step solution

Identify the variable quantities

The variable quantities that represent input are the gross income and the total deductions. The variable quantity that represents the output is the net pay.

Assign appropriate letters

Let's use the following letters for each variable quantity: G: Gross income D: Total deductions N: Net pay

Translate the verbal rule into a symbolic formula

According to the problem, net pay is the difference between a worker's gross income and his or her deductions. Translating this verbal rule into a symbolic formula: N = G - D

Use the formula to determine the result

We are given that the person's gross income (G) is 65,000 dollars and the total deductions (D) are 12,860 dollars. Using the formula: N = G - D N = 65,000 - 12,860 Now, we'll perform the subtraction: N = 52,140 So, the net pay for the year was 52,140 dollars.