Flat Tire Problem: Atire is punctured by a nail. As the air leaks out, the distance, y

Chapter 1, Problem 17

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Flat Tire Problem: Atire is punctured by a nail. As the air leaks out, the distance, y, in inches, between the rim and the pavement (Figure 1-2l) depends on the time, t, in minutes, since the tire was punctured. Values of t and y are given in the table below. t (min) y (in.) 0 6.00 2 4.88 4 4.42 6 4.06 8 3.76 10 3.50 12 3.26 14 3.04 16 2.84 y Figure 1-2l a. About how fast is y changing at each time? i. t = 2 ii. t = 8 iii. t = 14 b. How do you interpret the sign of the rate at which y is changing? For 1928, a. Give the type of function (linear, quadratic, and so on). b. State whether f(x) is increasing or decreasing at x = c, and how you know this.