Questions: The government of a certain country owns land within the country. The graph to the right shows the percent of land owned by the government in 4 of the country's regions. Answer parts (a) through (d) below.
c) Region A has a total area of 91,615,966 acres. Estimate the number of acres owned by the government in Region A. Choose the correct estimate below.
A. 6,750,000 acres
B. 67,500,000 acres
C. 33,750,000 acres
D. 13,500,000 acres
d) By just looking at the graph, is it possible to determine whether the federal government owns more land in Region A or Region C?
A. No, we are not given the area of each region.
B. Yes, the government owns more land in region A.
C. Yes, the government owns more land in region C.
Transcript text: The government of a certain country owns land within the country. The graph to the right shows the percent of land owned by the government in 4 of the country's regions. Answer parts (a) through (d) below.
c) Region A has a total area of $91,615,966$ acres. Estimate the number of acres owned by the government in Region A. Choose the correct estimate below.
A. 6,750,000 acres
B. $67,500,000$ acres
C. $33,750,000$ acres
D. $13,500,000$ acres
d) By just looking at the graph, is it possible to determine whether the federal government owns more land in Region A or Region C?
A. No, we are not given the area of each region.
B. Yes, the government owns more land in region $A$.
C. Yes, the government owns more land in region C.
Solution
Solution Steps
Step 1: Find the percentage of land owned by the government in Region A.
The bar graph shows approximately 76% for Region A.
Step 2: Calculate the estimated acres owned by the government in Region A.
Region A has a total area of 91,615,966 acres. The government owns approximately 76% of this land. So, 91,615,966 * 0.76 ≈ 69,628,334 acres. The closest estimate is 67,500,000 acres.
Step 3: Determine if it's possible to tell which region (A or C) has more government-owned land just by looking at the graph.
No, it is not possible. While the graph shows the _percentage_ of land owned by the government in each region, it does not show the _total area_ of each region. Region C could have a much larger total area than Region A, meaning a smaller percentage could still represent a larger total amount of land.
Final Answer
c) B. $67,500,000$ acres
d) A. No, we are not given the area of each region.