Question

Paul used his graduation money to start a landscaping business. He has made the same amount of money every month since opening his business, so his business profits can be represented with a linear function where x is the months since starting his business and y is the overall profits. His overall profits after 1, 2, 3, and 6 months are shown in the table.

What is the y-intercept of the linear function that describes his business profits? What does this number represent in this example?

Answer 1

The exact y-intercept of Paul's business profit linear function cannot be determined without the specific monthly profit data provided in the absent table. Generally, the y-intercept represents the initial profits or starting amount of the business before earning monthly profits.

Step-by-step explanation:

The question is asking to determine the y-intercept of a linear function that represents Paul's business profits over time. In the context of a linear function, the y-intercept is the value of y when x is zero. This represents Paul's initial profit or starting amount before he began earning monthly profits from his business. Unfortunately, without the specific table data showing his profits after 1, 2, 3, and 6 months, we cannot calculate the exact y-intercept of his business profit function. However, in general terms, to find the y-intercept when we know the profits at different months, we would ideally look for the amount Paul had at the start (x=0) or use two given points to calculate the slope and then find the y-intercept accordingly.