A company charting its profits notices that the relationship between the number of units sold, x, and the profit, P, is linear. If 170 units sold results in $1360 profit and 220 units sold results in $4260 profit, write the profit function for this company.

P(x) = 58x - 8,500

Step-by-step explanation:

The profit function can be modeled based on the two given points of format (P, x) that are ($1360, 170) and ($4260, 220). The slope of the function is:

Applying the general form of a linear equation, the profit function is:

The profit as a function of units sold is P(x) = 58x - 8,500.