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.

1 answer

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.