Undergraduates in a large university class were asked to record the time they spent on the most recent homework. In a histogram of the recorded times, the height of the bar over the interval “1 hour to 3 hours” is 4% per hour. The height of the bar over the interval “3 hours to 6 hours” is 2% per hour. If the histogram is redrawn with just a single bar over the interval “1 hour to 6 hours”, what should the height of the bar be?

[Calculate your answer in % per hour, but do not enter the units of measurement.]

To determine the height of the bar for the interval "1 hour to 6 hours" in the redrawn histogram, we need to combine the percentages for the intervals "1 hour to 3 hours" and "3 hours to 6 hours".

Let's start by calculating the height of the bar for the interval "1 hour to 3 hours". We are given that the height of this bar is 4% per hour. Since the interval spans 2 hours (3 hours - 1 hour), we can calculate the total percentage by multiplying the height by the interval length:

Height of the bar for "1 hour to 3 hours" = 4% per hour * 2 hours = 8%.

Next, we calculate the height of the bar for the interval "3 hours to 6 hours". We are given that the height of this bar is 2% per hour. Again, since the interval spans 3 hours (6 hours - 3 hours), we multiply the height by the interval length:

Height of the bar for "3 hours to 6 hours" = 2% per hour * 3 hours = 6%.

To find the height of the bar for the interval "1 hour to 6 hours", we add the percentages of the two individual bars together:

Height of the bar for "1 hour to 6 hours" = 8% + 6% = 14%.

Therefore, the height of the bar for the interval "1 hour to 6 hours" should be 14% per hour in the redrawn histogram.