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 to the nearest tenth.

(1 point)
Responses

54.5%
54.5%

120.0%
120.0%

70.6%
70.6%

41.7%

Answer 1

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

\[
\text{Relative Frequency} = \frac{\text{Number of farmers with sandy soil who prefer carrots}}{\text{Total number of farmers with sandy soil}} \times 100
\]

From the table, we have:

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

Now, we can substitute these values into the formula:

\[
\text{Relative Frequency} = \frac{120}{170} \times 100
\]

Calculating this step by step:

1. Calculate the fraction:
\[
\frac{120}{170} \approx 0.705882
\]

2. Multiply by 100 to get the percentage:
\[
0.705882 \times 100 \approx 70.5882
\]

3. Round to the nearest tenth:
\[
70.6%
\]

Therefore, the percentage chance that farmers with sandy soil prefer to grow carrots is **70.6%**.

So the correct response is:

**70.6%**