Question

Bilquis accepted a new job at a company with a contract guaranteeing annual raises. Bilquis will get a raise of $2000 every year and had a starting salary of $35000. Make a table of values and then write an equation for S, commaS, in terms of n, comman, representing Bilquis' salary after working nn years for the company.
Number of Years at the Company Bilquis' Salary (Dollars)
00
11
22
33
Answer
Attempt 1 out of 2

Answers

Answered by GPT-4o mini
To find Bilquis' salary after working for various years at the company, we can create a table and derive a general equation.

Starting Salary: $35,000
Annual Raise: $2,000

### Table of Values

| Number of Years at the Company (n) | Bilquis' Salary (S) |
|-------------------------------------|---------------------|
| 0 | 35,000 |
| 1 | 37,000 |
| 2 | 39,000 |
| 3 | 41,000 |

### Explanation of the Calculation
- After 0 years: \( S = 35,000 + 0 \times 2,000 = 35,000 \)
- After 1 year: \( S = 35,000 + 1 \times 2,000 = 37,000 \)
- After 2 years: \( S = 35,000 + 2 \times 2,000 = 39,000 \)
- After 3 years: \( S = 35,000 + 3 \times 2,000 = 41,000 \)

### Equation for Salary
To express Bilquis' salary \( S \) in terms of the number of years worked \( n \), we can use the following equation:

\[
S(n) = 35,000 + 2,000n
\]

Here, \( n \) is the number of years Bilquis has worked for the company.

### Final Answer
\[
\text{S}(n) = 35,000 + 2,000n
\]
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