2. The table gives the tine r - f(v/ imposed on a motorist for speeding, where v is the motorist's speed and 55 mph is the speed limit. v (mph) 60 65 70 75 80 85 (dollars) 75 100 125 150 175 200 a. Is f linear? How can you be sure? b. What does the slope represent in practical terms for the motorist? 3. In a college meal plan, you pay a membership fee. Then all your meals are at a fixed price per meal. a. If 30 meals cost $152.50 and 60 meals cost $250, find the membership fee and the price per meal. b. Write a formula for the cost of a meal plan C in terms of the number of meals n. c. Find n in terms of C. What would you use this formula for? 4. If your total taxable income for one year is d dollars, let /(d ) be the federal income tax that you owe. For 1993, the value of I(d ) was given (approximately) by: 0.15d O S d s 20,000 I(d)= 3000 +0.28(d - 20,000) if 20,000 49,000 a. Suppose the IRS suddenly declared that your new tax obligation was I(d ) + 200. Explain how this changes your tax obligation. b. Suppose instead the IRS suddenly declared that your new tax obligation was /(d + 1000).Explain how this changes your tax obligation