To write an equation that represents the total amount, [tex]\( y \)[/tex], of Mr. Jensen's paycheck in a month when he sells [tex]\( x \)[/tex] policies, we need to consider two components of his paycheck: the base salary and the commission per policy sold.
1. Base Salary:
Mr. Jensen has a fixed base salary of [tex]$2175 per month.
2. Commission:
For each policy Mr. Jensen sells, he earns a commission of $[/tex]250.
The equation in slope-intercept form (i.e., [tex]\( y = mx + b \)[/tex]) combines these two parts:
- The base salary ([tex]\( b \)[/tex]) is 2175.
- The commission per policy ([tex]\( m \)[/tex]) is 250, multiplied by the number of policies sold ([tex]\( x \)[/tex]).
Therefore, the equation representing the total amount of Mr. Jensen's paycheck is:
[tex]\[ y = 2175 + 250x \][/tex]
This equation states that the total paycheck, [tex]\( y \)[/tex], is equal to the base salary of 2175 plus 250 times the number of policies sold, [tex]\( x \)[/tex].
