Use the table to answer the question.

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

70.6%
70.6%

120.0%
120.0%

54.5%
54.5%

41.7%
41.7%
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Answer 1

To determine the percentage of farmers with sandy soil who prefer producing carrots, we need to calculate the relative frequency of farmers who prefer carrots among those with sandy soil.

The number of farmers with sandy soil who prefer carrots is 120. The total number of farmers with sandy soil is 170.

We can find the percentage by using the formula:

\[ \text{Percentage} = \left( \frac{\text{Number of farmers preferring carrots}}{\text{Total number of farmers with sandy soil}} \right) \times 100 \]

Substituting in the numbers:

\[ \text{Percentage} = \left( \frac{120}{170} \right) \times 100 \approx 70.588% \]

Rounding this to the nearest tenth gives:

\[ 70.6% \]

So, the correct answer is 70.6%.