Average Rate of Change Answers

Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in the U.S. every 10 years and has provided the following data that gives the median age of an American man at the time of his first marriage.Year1910192019301940195019601970198019902000Median Age25.124.624.324.322.822.823.224.726.126.8During what ten-year period did the average age increase the most?a.From 1970 to 1980b.From 1980 to 1990c.From 1910 to 1920d.From 1940 to 1950

The results of an analysis, on the makeup of garbage, done by the Environmental Protection Agency was published in 1990. Some of the results are given in the following table, which for various years gives the number of pounds per person per day of various types of waste materials. Waste materials1960197019801988Glass0.200.340.360.28Plastics 0.010.080.190.32Metals 0.320.380.350.34Paper0.911.191.321.60For metal, calculate the average rate of change between 1980 and 1988. Then interpret what this value means.a.From 1980 to 1988, the number of pounds of metal per person per day decreased by 0.00125 per year.c.From 1980 to 1988, the number of pounds of metal per person per day decreased by 0.125 per year.b.From 1980 to 1988, the number of pounds of metal per person per day decreased by 0.071 per year.d.From 1980 to 1988, the number of pounds of metal per person per day increased by 0.01 per year.

You are told that the average rate of change of a particular function is always negative. What can you conclude about the graph of that function and why?

The results of an analysis, on the makeup of garbage, done by the Environmental Protection Agency was published in 1990. Some of the results are given in the following table, which for various years gives the number of pounds per person per day of various types of waste materials.Waste Materials1960197019801988Glass0.200.340.360.28Plastics0.010.080.190.32Metals0.320.380.350.34Paper0.911.191.321.60For plastics, calculate the average rates of change between consecutive data points in the table. Interpret the meaning of your results.a.The rate of increase increases from each decade to the next.c.The rate of increase increases during the 1970's, but then decreases during the 1980's.b.The rate of increase decreases from each decade to the next.d.The rate of increase decreases during the 1970's, but then increases during the 1980's.

Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in the U.S. every 10 years and has provided the following data that gives the median age of an American man at the time of his first marriage.Year1910192019301940195019601970198019902000Median Age25.124.624.324.322.822.823.224.726.126.8Determine a ten-year period when the average rate of change is negative.a.1910 - 1920b.1920 - 1930c.1940 - 1950d.All of the above

You began membership in a new health and fitness club which has access to a dietician and personal trainer. They help you develop a special eight-week diet and exercise program. The data in the following table represents your weight, w, as a function of time, t, over an eight-week period.Time (weeks)012345678Weight (lb)150144143141140137137132129Your weight decreases during each of the first five weeks of the program. Determine the change in the t-value over the first five weeks; that is, from t = 0 to t = 5.a.The change in the t-value is -5.b.The change in the t-value is 5.c.The change in the t-value is 13.d.The change in the t-value is -13.

You began membership in a new health and fitness club which has access to a dietician and personal trainer. They help you develop a special eight-week diet and exercise program. The data in the following table represents your weight, w, as a function of time, t, over an eight-week period.Time (weeks)012345678Weight (lb)150144143141140137137132129If you lost 13 pounds in the first five weeks, what is the average rate of change of weight with respect to time over the first five weeks of the program?a.+0.38 pounds per weekb.-0.38 pounds per weekc.+2.6 pounds per weekd.-2.6 pounds per week

You began membership in a new health and fitness club which has access to a dietician and personal trainer. They help you develop a special eight-week diet and exercise program. The data in the following table represents your weight, w, as a function of time, t, over an eight-week period. Time (weeks) 0 1 2 3 4 5 6 7 8 Weight (lb) 150 144 143 141 140 137 137 132 129 Your weight decreases during each of the first five weeks of the program. Determine the actual change in weight over the first five weeks of the program by subtracting your initial weight from your weight at the end of the first five weeks. What is the sign of your answer? What is the significance of this sign? a. 137-150 = -13 lb; A change in weight is negative because the weight decreases. b. 137-150 = 13 lb; A change in weight is positive because the weight decreases. c. 150-137 = -13 lb; A change in weight is negative because the weight increases. d. 150-137 = 13 lb; A change in weight is positive because the weight increases. Please select the best answer from the choices provided

What must be true about the average rate of change between any two points on the graph of an increasing function?

Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in the U.S. every 10 years and has provided the following data that gives the median age of an American man at the time of his first marriage.Year1910192019301940195019601970198019902000Median Age25.124.624.324.322.822.823.224.726.126.8What does it mean in this situation if the average rate of change is negative?a.It means that the median age of a man at the time of his first marriage is increasing.b.It means that the median age of a man at the time of his first marriage is decreasing.c.It means that the median age of a man at the time of his first marriage has a constant rate of change.d.There is no way to determine the average rate of change in this situation.