Question

a large portion of zoo visitors were surveyed about their favorite animal exhibit at the zoo.

animal exhibit	number of people who favor the exhibit
pandas	33
polar bears	12
gorillas	24
snakes	5
fish	2

the results are shown below. select two statements that are true about the situation.

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

Explanation:

1. Analyze the first statement: Number of people who preferred gibbons and polar bears combined is \(17 + 12 = 29\). Number of people who preferred gorillas is 24. Since \(24<29\), this statement is false.
2. Analyze the second statement: Number of people who preferred polar bears is 12. Twice of 12 is \(12\times2 = 24\), which is equal to the number of people who preferred gorillas. So this statement is true.
3. Analyze the third statement: Calculate the total number of people surveyed: \(17+33 + 12+24+5+2=93\). The number of people who preferred pandas is 33. Since \(\frac{33}{93}\approx0.35\) (more than a third), most people preferred pandas. This statement is true.
4. Analyze the fourth statement: The number of people who preferred fish is 2, which is less than the number of people who preferred snakes (5). So fish exhibit is the least favorite, not snakes. This statement is false.
5. Analyze the fifth statement: Half of 33 (people who preferred pandas) is \(33\div2 = 16.5\). The number of people who preferred gibbons is 17, which is close to 16.5, but not exactly about half. This statement is false.

Answer:

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