Answer:
(a) The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.
Step-by-step explanation:
We are given the options,
(a) The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.
(b) The number of accidents was reduced by 0.67 per month every month.
(c) The number of accidents increased by 0.67 per month for every additional 100 drivers in the program.
(d) There were 0.67 accidents per month.
We can eliminate option 'c' because the accidents are obviously not increasing, but rather, decreasing. We can also eliminate option 'd' (which to a certain extent is rather vague) because there is a trend in the data. If there were only 0.67 accidents per month (which is impossible anyway), then the graph would be that of [tex]y=0.67[/tex] which is indeed a straight line. Finally, we can eliminate option 'b' because the x-axis isn't in terms of months, but drivers in the program. This leaves 'a' as the only logical answer, which we can see is true because the graph trends downward (hence the negative slope) by about 0.67 per 100 drivers. With a bit of understanding about the problem, we can eliminate the illogical answers to find the correct one!
Note: you may be wondering why the slope isn't just -0.67, but that is because then it would go down by 0.67 for each driver in the program. Therefore, the slope was divided by 100 to yield us a slope of -0.0067 which makes it go down 0.67 per 100 drivers instead of only 1 driver.
