Problem 3. The table below shows the number of calories burned per minute B = f (w, s) by someone who weighs w lbs and is roller blading at a speed of 3 mph. w\\s 8 9 10 11 120 4.2 5.8 7.4 8.9 160 6.1 7.7 9.2 10.8 200 7.9 9.5 (a) How many calories are burned per minute by someone who weighs 160 lbs and is roller blading at a speed of 9 mph? (b) Estimate how many calories are burned per minute by someone who weighs 160 lbs and is roller blading at 9.5 mph. (c) Someone who weighs 140 lbs is burning 9.9 calories per minute roller blading. How fast are they going? (d) Someone who is roller blading at 10 mph is burning 9.7 calories per minute. About how much do they weigh? Problem 4. The gure below is a contour diagram of the monthly payment on a 5year car loan P (in dollars) as a function of the interest rate 'r' (in percent) and the amount borrowed A (in dollars). Suppose the interest rate is 7% and that you borrowed $6,000. 8000 ragga 5000 - 4000 2000 5519111315 interest rate, r (%) (a) What is your monthly payment? (b) If the interest rate had dropped to 3% before you took out the loan approximately what would your monthly payment have been? (c) How much could you have borrowed at an interest rate of 3% without increasing your monthly payment? ((1) Sketch the sections where r = 7 is held constant and where A = 6000 is held constant