Two quantities are being compared in the following problem.

Ann earns \$1,500 more per year than Bill. If Ann's salary is [tex]$x$[/tex], write an algebraic expression for Bill's salary.



Answer :

Let's break down the problem step-by-step to find an algebraic expression for Bill's salary given that Ann earns [tex]$1,500 more per year than Bill. 1. Identify the given information: - Ann's salary is denoted as \( x \). 2. Understanding the relationship between Ann's and Bill's salaries: - The problem states that Ann earns \$[/tex]1,500 more per year than Bill.

3. Express Bill's salary in terms of Ann's salary:
- If Ann earns \[tex]$1,500 more than Bill, then Bill's salary must be \$[/tex]1,500 less than Ann's salary.

4. Formulate the algebraic expression:
- To find Bill's salary, you subtract \$1,500 from Ann's salary, [tex]\( x \)[/tex].

Thus, the algebraic expression for Bill's salary is:
[tex]\[ x - 1500 \][/tex]

Therefore, Bill's salary is expressed as [tex]\( x - 1500 \)[/tex].