Fiona says that 7% of the model is shaded.

Question

A bar diagram with 7 shaded squares and 3 unshaded squares.

Do you agree? Why or why not?
Yes, because 7 parts are shaded.
Yes, because 7 of 10 parts are shaded.
No, because StartFraction 7 Over 10 EndFraction parts shaded equals 70%.
No, because 6 parts are shaded.

Answer 1

To analyze Fiona's claim that 7% of the model is shaded, we need to look at the total number of parts (squares) in the diagram.

In the bar diagram, there are 7 shaded squares and 3 unshaded squares, making a total of 10 squares. The calculation for the proportion of shaded squares is:

\[ \text{Proportion of shaded squares} = \frac{\text{Number of shaded squares}}{\text{Total number of squares}} = \frac{7}{10} \]

To convert this fraction to a percentage, you multiply by 100:

\[ \frac{7}{10} \times 100 = 70% \]

Therefore, 7 shaded squares out of 10 squares represent 70%, not 7%.

So, the correct choice is:

No, because StartFraction 7 Over 10 EndFraction parts shaded equals 70%.