MGSC1109 Section 11.3 Rate of Change MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the average rate of change for the function over the given interval 1) y = x2 + 8x between x =5 and x = B A) 21 B) 03 C) 16 D) 128 Solve the problem. 2) Compute the instantaneous rate of change of the function at p( x = a. f(x) = 17 - 6x, a=-7. 2) A) -42 B) -6 C) 11 D) 42 3) For a motorcycle traveling at speed v (in mph) when the brakes are applied, the distanced (in feet) 3) required to stop the motorcycle may be approximated by the formula d = 0.05 v2 + v. Find the instantaneous rate of change of distance with respect to velocity when the speed is 45mph. A) 4.5 mph B) 11 mph C) 46 mph D) 5.5 mph Find the average rate of change for the function over the given interval. 4) y = * 2x between x = 2 and x = 8 4) A) - 10 C) 7 D) 2 5 y = -3x2 - x between x = 5 and x = 6 5) B) - - C) -2 D) -34 The graph shows the total sales in thousand of dollars from the distribution of x thousand catalogs. Find the average rate of change of sales with respect to the number of catalogs distributed for the change in x. Sales (in thousands) To- 60- (40,603 (20 , 50) (10 ,18) 10 20 20 19 59 Number (in thousands) 6) 10 to 40 B) 2 C) 4 7) 30 to 40 7) B) 1 DJ OSolve the problem. 8) The graph shows the average cost of a barrel of crude oil for the years1981 to 1930 in constant 1996 dollars. Find the approximate average change in price from 198 1 to 1986. 19 96 $/Barrel 50 40- 30 20- 10 81 82 83 84 85 86 87 28 89 90 Year A) About -$15/year B) About -$4/year C) About -$37 /year D) About -$9/year 9) Compute the instantaneous rate of change of he function at ( x = a f( x) = x2 + 4x, a = 5. A) 14 B) 10 C) -10 D) 15 10) The position of a partide moving on anumber line at time t is given by s(t). Find the instantaneous 10) velocity at time t =to s(@) =312 - 2t-1; to =2 A) 10 B) -2 C) 2 D) -10