For each of the first 12 years of an insurance policy, the graph gives the comparison between cumulative cost (i.e., the sum of the fixed annual payments made in that and in each of the previous years) and maximum benefit payable that year by the insurance company. All monetary values in the graph are expressed in millions of yen (¥).
Select from each of the drop-down menus the option that creates the most accurate statement based on the information given in the graph.
The fixed annual payment is closest to ¥ __________ million.We could theoretically find the answer to this one by considering the cost for the first year. However, the answer choice values 0.25 and 0.40 are close. So, it's risky to choose between those choices using just that little bar for year 1.
It's safer to use the cumulative cost for the year 5, since the cumulative cost is the sum of the costs for all years including that year.
We see that the cumulative cost for year 5 is ¥2 million.
Cost/Years = 2/5 = 0.40
Choose
0.40.
After the third year, the fixed increase in the maximum benefit is closest to ¥ __________ million per year.We could theoretically find this answer by considering the change between benefit value for year 3 and the benefit value for year 4. However, the answer choice values 0.25 and 0.4 are close. So, it's risky to choose between those choices using just that little difference between the year 3 benefit bar and the year 4 benefit bar.
So, instead, we can use the difference between the round number for year 3, which is 14, and the round number for year 11, which is 16.
Change in Value/Years = (16 - 14)/(11 - 3) = 2/8 = 0.25
Choose
0.25.
Correct answer: 0.40,
0.25