Final answer:
The difference between the slowest and fastest times is 5/8 of a second.
Step-by-step explanation:
The line plot shows the times it took people to press a button after hearing a signal. The number line on the plot goes from 0 to 3/4 seconds, with increments of 1/8 second. The fastest time is represented by the dot at 1/8 second, and the slowest time is represented by the dot at 3/4 second. To find the difference between the slowest and fastest times, we subtract the slowest time from the fastest time:
Difference = Slowest time - Fastest time = 3/4 second - 1/8 secon
To subtract fractions, we need a common denominator. In this case, the common denominator is 8. Converting the fractions with the common denominator, we get:
Difference = (6/8) - (1/8)
Simplifying the subtraction, we get:
Difference = 5/8 of a second