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

54.5%
54.5%

120.0%
120.0%

41.7%
41.7%

70.6%
70.6%

Answer 1

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

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

In this case, the number of farmers with sandy soil who prefer carrots is 120, and the total number of farmers with sandy soil is 170.

Plugging in the numbers:

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

Calculating this:

\[ \frac{120}{170} \approx 0.7059 \]

Now, converting this to a percentage:

\[ 0.7059 \times 100 \approx 70.6% \]

Therefore, the percentage of farmers with sandy soil who prefer producing carrots is 70.6%.

The correct response is:

70.6%