SAT Math Multiple Choice Question 452: Answer and Explanation
2. Hardwood trees take much longer to grow than softwood trees. Once harvested, however, hardwood is much stronger and more durable. Because of its higher density, a piece of hardwood that is the same size as a piece of softwood weighs considerably more. A lumberyard ships both kinds of wood to home improvement stores. The cost C, in dollars, to ship a pallet of wood weighing p pounds can be found using the equation C = 6.5p + 16. What is the cost difference to ship a pallet of hardwood weighing 170 pounds versus a pallet of softwood weighing 80 pounds?
- A. $90
- B. $325
- C. $585
- D. $715
Correct Answer: C
Category: Heart of Algebra / Linear Equations
Strategic Advice: There is a lot of information in this question. Focus on the question in the last couple of sentences.
Getting to the Answer: Find the difference in the costs of shipping each type of wood by substituting the two values given for p and then subtracting.