Question

A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images. Sample 1 4 Sample 2 1 Sample 3 9 What can the rancher conclude from these samples about how many sheep graze on each acre of the 40-acre pasture?

Answer 1

Explanation:

Based on the samples provided, the rancher can make some assumptions about the number of sheep grazing on each acre of the pasture.

Sample 1 shows 4 sheep grazing in an area of the pasture, which suggests that there may be approximately 10 sheep per acre (since 250 sheep divided by 40 acres equals 6.25 sheep per acre, and 4 is close to 6.25 divided by 0.6).

Sample 2 shows only 1 sheep grazing in an area of the pasture, which may indicate that some areas of the pasture are less densely populated with sheep than others.

Sample 3 shows 9 sheep grazing in an area of the pasture, which could suggest that some areas of the pasture are more densely populated with sheep than others.

Overall, based on these samples, the rancher could conclude that the number of sheep per acre varies across the 40-acre pasture, and that there may be some areas with higher or lower densities of sheep. However, it's important to note that these conclusions are based on a very small sample size and may not be representative of the entire pasture. Further analysis, such as additional aerial photos or on-the-ground observations, may be needed to get a more accurate picture of sheep density across the entire pasture.