Trash cans sell for $83.32. The company making trash cans has a total cost of $2453.50 when making 45 trash cans and $3384.00 when making 92 trash cans. Assuming a linear relationship, find the profit function, P(x), of the company making the trash cans if x represent the number of trash cans made and sold.

83.32 * 45 = 3749.40 (gross when selling 45)

3749.40 - 2453.50 = 1295.90 (profit when selling 45)

83.32 * 92 = 7665.44 (gross when selling 92)

7665.44 - 3384.00 = 4281.44 (profit when selling 92)

using coordinates (45, 1295.90) and (92, 4281.44), find slope, and intercept.