Question

Use the table to answer the question.

Determining the percentage of farmers with sandy soil who prefer producing carrots.

Carrots peppers. Totals
Sandy soil 120 50 170
Rocky soil 100 150 250
Totals. 220 200 420

Examine the data from a survey of farmers about their different soil types and the crops they prefer to grow. Using relative frequencies, what is the percentage chance that farmers with sandy soil prefer to grow carrots? Round your answer the nearest tenth.

A. 41.7%
B. 120.0%
C. 54.5%
D. 70.6%

Answer 1

To determine the percentage of farmers with sandy soil who prefer producing carrots, we can use the relative frequency formula:

\[
\text{Relative Frequency} = \frac{\text{Number of farmers with sandy soil who prefer carrots}}{\text{Total number of farmers with sandy soil}}
\]

From the table, we find:

- Number of farmers with sandy soil who prefer carrots: 120
- Total number of farmers with sandy soil: 170

Now, substituting the values into the formula:

\[
\text{Relative Frequency} = \frac{120}{170} \approx 0.7059
\]

To find the percentage, we multiply this by 100:

\[
\text{Percentage} = 0.7059 \times 100 \approx 70.6\%
\]

Therefore, the percentage chance that farmers with sandy soil prefer to grow carrots is:

**D. 70.6%**