You spent a lot of time during this unit working with linear functions. Because linear functions are easy to work with, we often use them as mathematical models to represent real-world situations. In reality, many of these situations are not exactly linear and the mathematical models we create are only approximations. It is important to be able to recognize whether or not it is reasonable to use a linear function to approximate the increase (or decrease) of something as a function of something else. For which of the following situations would a linear function be a reasonable choice for a mathematical model?

a. The success rate of field-goal kicking as a function of distance from the goal post
b. The number of people who have heard something as a function of time after the first person is told
c. Stopping distance (in a car) as a function of speed

(c) compare the results of parts (a) and (b). in general, how do you think the mode, median, and mean are affected when each data value in a set is multiplied by the same constant? multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c. multiplying each data value by the same constant c results in the mode, median, and mean remaining the same. multiplying each data value by the same constant c results in the mode, median, and mean decreasing by a factor of c. there is no distinct pattern when each data value is multiplied by the same constant. (d) suppose you have information about average heights of a random sample of airline passengers. the mode is 65 inches, the median is 72 inches, and the mean is 65 inches. to convert the data into centimeters, multiply each data value by 2.54. what are the values of the mode, median, and mean in centimeters? (enter your answers to two decimal places.) mode cm median cm mean cm in this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. consider the following data set 7, 7, 8, 11, 15. (a) compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = (b) multiply 3 to each of the data values. compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = --