For a business the costs rule is C(x) = 0.75x + 24000 and the sales rule is R(x) = 1.95x. What is the profit rule?

1. Profit is the money coming in with the costs taken away. 2. So write P(x) = 1.95x minus the whole of 0.75x + 24000. 3. The minus sign applies to both parts inside, giving 1.95x - 0.75x - 24000. 4. Subtracting the x terms gives 1.2x, so the profit rule is P(x) = 1.2x - 24000. 5. Option A adds the two x terms instead of subtracting them. 6. Option B keeps the 24000 positive, which would mean the fixed costs added to profit rather than eating into it. 7. Option D subtracts 0.75 twice over, which is a slip in the same subtraction. _Source: OpenStax College Algebra (CC BY 4.0), Ch 7 "Systems of Equations and Inequalities", section 7.1 Systems of Linear Equations: Two Variables_