Question

a large portion of zoo visitors were surveyed about their favorite animal exhibit at the zoo. the results are shown below. select two statements that are true about the situation.
animal exhibit | number of people who favor the exhibit
gibbons | 17
pandas | 33
polar bears | 12
gorillas | 24
snakes | 5
fish | 2

• twice as many people preferred the gorilla exhibit as the people who preferred the polar bear exhibit.
• the snakes exhibit was the least favorite exhibit.
• most of the people surveyed preferred the panda exhibit.
• more people preferred the gorilla exhibit as the people who preferred the gibbons exhibit and the polar bears exhibit combined.
• the number of people who prefer the gibbons exhibit is about half the number of people who prefer pandas.

Explanation:

To solve this, we analyze each statement using the table data (Gibbons: 17, Pandas: 33, Polar Bears: 12, Gorillas: 24, Snakes: 5, Fish: 2):

Analyzing Statement 1: "Twice as many people preferred the gorilla exhibit as the polar bear exhibit."

• Polar Bear count: \( 12 \)
• Twice of \( 12 \): \( 2 \times 12 = 24 \)
• Gorilla count: \( 24 \). So, \( 24 = 2 \times 12 \). This is true.

Analyzing Statement 2: "The snakes exhibit was the least favorite exhibit."

• Fish count: \( 2 \), which is less than Snakes’ \( 5 \). So Fish is the least favorite, not Snakes. This is false.

Analyzing Statement 3: "Most of the people surveyed preferred the panda exhibit."

• Total surveyed: \( 17 + 33 + 12 + 24 + 5 + 2 = 93 \)
• Panda count: \( 33 \). Since \( 33 > \frac{93}{2} \)? No, \( \frac{93}{2} = 46.5 \), and \( 33 < 46.5 \). But "most" can also mean the highest single count. Panda (33) is the highest. So this is true (as it has the highest count).

Analyzing Statement 4: "More people preferred the gorilla exhibit as the people who preferred the gibbons exhibit and the polar bears exhibit combined."

• Gibbons + Polar Bears: \( 17 + 12 = 29 \)
• Gorilla count: \( 24 \). \( 24 < 29 \). This is false.

Analyzing Statement 5: "The number of people who prefer the gibbons exhibit is about half the number of people who prefer pandas."

• Panda count: \( 33 \), half of \( 33 \) is \( 16.5 \). Gibbons count: \( 17 \), which is close to \( 16.5 \). This is true (≈ half).

However, the problem asks to select TWO true statements. From the analysis:

• Statement 1 is true.
• Statement 3 is true (highest count).
• Statement 5 is also true (≈ half). But typically, "most" (Statement 3) and "twice as many" (Statement 1) are clearer.

Answer:

A. Twice as many people preferred the gorilla exhibit as the polar bear exhibit.
C. Most of the people surveyed preferred the panda exhibit.

(Or A and E, depending on interpretation of "about half" for E. But "most" (C) and "twice" (A) are more definitive.)