A five by five grid is labeled 5 miles on the bottom and 5 miles on the side. One square in the grid is shaded and labeled 17 deer.
Question
Predict the number of deer in a 25 square mile section of the mountains based on the sampling from the figure.
Answer options with 5 options
A.
27
B.
42
C.
85
D.
170
E.
425
Based on the given information, we can assume that the number of deer is proportional to the area of the grid.
The area of the grid is 5 miles * 5 miles = 25 square miles.
Since there are 17 deer in one square of the grid, we can set up a proportion to find the number of deer in the 25 square mile section:
17 deer / 1 square mile = x deer / 25 square miles
Cross multiplying, we get:
17 * 25 = 1 * x
425 = x
Therefore, the answer is option:
E. 425