Consider that a company has determined that its profit for a product can be described by a linear function. The profit from the production and sale of 150 units is $455, and the profit from 250 units is $895.

(a) Let us write the equation of the profit function for this product.

By using x as the number of units and y as the profit, enter the data in the lists of a graphing utility.

The figure below shows a partial list of the data points.

The equation of the profit function, found using linear regression with a graphing calculator.

The equation of the profit functionas a function of the number of units x is Thus, the equation of profit function is.