Final answer:
To determine the new point, calculate 42% of the distance between 1920 and 1960, which results in 16.8 years. Adding this to 1920, we get the year 1936.8, so the new point lies between 1936 and 1937.
Step-by-step explanation:
The question requires calculating 42% of the distance between 1920 and 1960 and determining between which two years the new point lies. First, we calculate the span of years between 1920 and 1960, which is 1960 - 1920 = 40 years. Next, we find 42% of this 40-year span: 0.42 × 40 = 16.8 years. Adding this to the starting year, 1920 + 16.8, we get the year 1936.8. Since 1936.8 is not a whole year, we round down to the nearest whole year, which is 1936. Therefore, the new point Corbin drew lies between the years 1936 and 1937.