Question

QUANTITATIVE REASONING FOR BUSINESS An Inquiry-Based Approach PRACTICE TEST 1 1. (5.4) Suppose the value of your car is given by the formula V-1500t +21000, where V is the value of your car in dollars and t is time in years since the car was purchased. a) What is the slope of this linear function? b) What are the units of the "rise" in this example? c) What are the units of the "run" in this example? d) What are the units of the slope in this example? e) Write a practical interpretation of the slope in this example. f) What does the negative sign in the slope tell you about the value of your car? 2,) (5.5) Calculate the slope of each line. b) d)

Answer 1

"Given V = -1500 t + 21000 v in dollars and t in years (a) slope is given by dv/dt = -1500 (b) m dv/dt dv is ""lies"" dt is ""lun"" therefore units of ""rise"" is dollars (c) limit of ""run"" is years (d) slope = dv/dt = dollars/years therefore unit of slope is dollars/year (e) the car has initial value of 21000mdollars and every year the value of the car reduces by the. Slope value that is 1500 slope in this example indicates how much the value of car change by over the years. (f) negative sign indicates the depreciation of the value of the car over the years. (reduction in. value of the car) \r\n pick up any two point that line passes though if line passes through (x, y) and (x_2, y_2) than the slope is given by slope = y_2 - y_1/x_2 - x_1 (a) the line passes through (0, 2) and (2, 1) slope = 1 -2/2 -0 = -1/2"