Question

Seven of the 20 students in Mr. Ortiz’s class run track. Which model shows the percent of students who run track?
A grid model with 100 squares. 7 squares are shaded.
A grid model with 100 squares. 14 squares are shaded.
A grid model with 100 squares. 35 squares are shaded.
A grid model with 100 squares. 93 squares are shaded.

Answer 1

To find the percent of students who run track, we can set up a proportion based on the number of students who run track (7 out of 20).

First, calculate the percentage of students who run track:

\[
\text{Percentage} = \left( \frac{\text{Number of students who run track}}{\text{Total number of students}} \right) \times 100
\]

Plugging in the values:

\[
\text{Percentage} = \left( \frac{7}{20} \right) \times 100 = 0.35 \times 100 = 35\%
\]

Now we look for a grid model that represents this percentage.

- **A grid model with 100 squares. 7 squares are shaded.** represents 7% (7 out of 100).
- **A grid model with 100 squares. 14 squares are shaded.** represents 14% (14 out of 100).
- **A grid model with 100 squares. 35 squares are shaded.** represents 35% (35 out of 100).
- **A grid model with 100 squares. 93 squares are shaded.** represents 93% (93 out of 100).

Thus, the model that shows the percent of students who run track is:

**A grid model with 100 squares. 35 squares are shaded.**