Question

Use the table to answer the question. Determining the percentage of farmers with rocky 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 if a farmer prefers to grow carrots they have rocky soil? Round your answer to the nearest tenth. (1 point) Responses 83.3% 83.3% 40.0% 40.0% 45.5% 45.5% 100.0%

Answer 1

To find the percentage of farmers with rocky soil who prefer producing carrots, we can use relative frequencies based on the information provided in the table.

We need to determine the number of farmers who prefer carrots and have rocky soil:

• Farmers with rocky soil who prefer carrots: 100
• Farmers who prefer carrots in total: 220

Now, we can calculate the percentage of farmers who prefer carrots that have rocky soil as follows:

\[ \text{Percentage} = \left( \frac{\text{Farmers with rocky soil who prefer carrots}}{\text{Total farmers who prefer carrots}} \right) \times 100 \]

Substituting the known values:

\[ \text{Percentage} = \left( \frac{100}{220} \right) \times 100 \]

Calculating the fraction:

\[ \frac{100}{220} = 0.4545 \]

Now converting to percentage:

\[ 0.4545 \times 100 = 45.45 \]

Rounding to the nearest tenth, we get 45.5%.

Thus, the answer is 45.5%.