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

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

Explanation:

for each statement:

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

• Step 1: Find the number of people who preferred gorilla exhibit ($24$) and polar bear exhibit ($12$).
• Step 2: Check if $24 = 2\times12$. Since $2\times12 = 24$, this statement is true.

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

• Step 1: Look at the number of people for each exhibit: Gibbons ($17$), Pandas ($33$), Polar Bears ($12$), Gorillas ($24$), Snakes ($5$), Fish ($2$).
• Step 2: The least number of people is for Fish ($2$), not Snakes ($5$). So this statement is false.

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

• Step 1: Calculate total number of people: $17 + 33 + 12 + 24 + 5 + 2 = 93$.
• Step 2: Number of people who preferred panda exhibit is $33$. $\frac{33}{93}\approx0.355$, which is less than $0.5$. So "most" (more than half) is not correct. This statement is false.

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

• Step 1: Find the number of people who preferred gibbons ($17$) and polar bears ($12$) combined: $17 + 12 = 29$.
• Step 2: Number of people who preferred gorilla exhibit is $24$. Since $24<29$, this statement is false.

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

• Step 1: Number of people who preferred gibbons is $17$, pandas is $33$.
• Step 2: Half of $33$ is $16.5$, and $17$ is close to $16.5$. So this statement is true.

Answer:

The two true statements are:

• Twice as many people preferred the gorilla exhibit as the people who preferred the polar bear exhibit.
• The number of people who prefer the gibbons exhibit is about half the number of people who prefer pandas.