Final answer:
The central region of the US has 37.07% more densely vegetated land compared to the west region, with the central region having a densely vegetated land fraction of 75% and the west 37.93%.
Step-by-step explanation:
To find the difference in percentage of densely vegetated land from the west region to the central region of the US, we begin by understanding the given ratios of densely to sparsely vegetated land. In the west region, the ratio is 11:18, while in the central region, the ratio is 3:1.
To compare these ratios as percentages, we convert each to a fraction of the total vegetation in their respective regions. For the west, the densely vegetated land fraction is 11/(11+18) = 11/29. For the central region, the fraction is 3/(3+1) = 3/4.
Now we convert the fractions to percentages:
West region: (11/29) x 100 = ~37.93% densely vegetated
Central region: (3/4) x 100 = 75% densely vegetated
The difference in percentage of densely vegetated land between the central and west regions is then calculated by subtracting the percentage for the west from that of the central:
75% - 37.93% = 37.07%
Therefore, the central region has 37.07% more densely vegetated land compared to the west region.