Final answer:
The linear function for a loan officer's incentive plan table is y = mx + b, where the slope represents the percentage of the goal made and the y-intercept is 0. A scenario about making money at a job can be described using a salesperson's base salary and commission as a linear function y = 500 + 0.10x, where x represents the total sales made.
Step-by-step explanation:
The linear function that applies to a loan officer's incentive plan table is given by the equation y = mx + b, where m represents the slope and b represents the y-intercept.
For this scenario, let's assume the goal amount is $10,000. If the loan officer makes 95 percent of the goal, the linear function can be written as y = 0.95x + 0, where x represents the amount the loan officer makes.
To create a scenario about making money at a job, let's consider a salesperson who earns a base salary of $500 per month and also earns a commission of 10 percent on every sale. The linear function that represents the total amount of money earned by the salesperson for each month can be expressed as y = 500 + 0.10x, where x represents the total sales made in dollars. For example, if the salesperson makes $3000 in sales in a month, the total amount of money earned would be $500 + 0.10(3000) = $800.