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

120.0%
120.0%

54.5%
54.5%

70.6%
70.6%

41.7%
41.7%

Answer 1

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

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

From the table:

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

Now, substituting those numbers into the formula:

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

Calculating the fraction:

\[ \frac{120}{170} \approx 0.70588 \]

Now, convert this to a percentage:

\[ 0.70588 \times 100 \approx 70.588 \]

Rounding this to the nearest tenth gives:

\[ 70.6% \]

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

The correct answer is:

70.6%