Question

data and graphing worksheet
the graph shows the favorite field trips of the students. study the graph and answer the questions below.
botanical garden $\frac{1}{8}$
museum $\frac{1}{4}$
historical sites $\frac{1}{3}$
planetarium $\frac{1}{6}$
zoo $\frac{1}{8}$

1. which place is most liked by the students?
2. what fraction of the students like zoo?
3. what fraction of the students like garden and zoo?
4. which place is liked by one - sixth of the students?
5. which place is liked twice as much as the botanical gardens?

Explanation:

Step1: Compare the fractions

We have fractions $\frac{1}{8}$ (Botanical Garden and Zoo), $\frac{1}{4}$ (Museum), $\frac{1}{3}$ (Historical Sites), $\frac{1}{6}$ (Planetarium). Since $\frac{1}{3}>\frac{1}{4}>\frac{1}{6}>\frac{1}{8}$, Historical Sites have the largest fraction.

Step2: Identify the fraction for Zoo

From the pie - chart, the fraction of students who like Zoo is $\frac{1}{8}$.

Step3: Add the fractions for Garden and Zoo

The fraction of students who like Botanical Garden is $\frac{1}{8}$ and for Zoo is $\frac{1}{8}$. So, $\frac{1}{8}+\frac{1}{8}=\frac{1 + 1}{8}=\frac{2}{8}=\frac{1}{4}$.

Step4: Match the fraction $\frac{1}{6}$

From the pie - chart, the place liked by $\frac{1}{6}$ of the students is Planetarium.

Step5: Find the place liked twice as much as Botanical Garden

The fraction of students who like Botanical Garden is $\frac{1}{8}$. Twice of $\frac{1}{8}$ is $\frac{2}{8}=\frac{1}{4}$, and the place with fraction $\frac{1}{4}$ is Museum.

Answer:

1. Historical Sites
2. $\frac{1}{8}$
3. $\frac{1}{4}$
4. Planetarium
5. Museum