Question

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 tent

(1 point)
Responses

54.5%
54.5%

70.6%
70.6%

41.7%
41.7%

120.0%
120.0%

Answer 1

To find the percentage of farmers with sandy soil who prefer to produce carrots, we can calculate the relative frequency using the given data.

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

The relative frequency is calculated as follows:

\[
\text{Relative Frequency} = \frac{\text{Number of Sandy Soil Farmers who prefer Carrots}}{\text{Total Number of Sandy Soil Farmers}} = \frac{120}{170}
\]

Now, we will calculate this:

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

To convert this to a percentage, we multiply by 100:

\[
0.70588 \times 100 \approx 70.588
\]

Rounding this to the nearest tenth gives us 70.6%.

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

The correct response is:

**70.6%**