Use the table to answer the question.

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 rocky soil prefer growing peppers? Round your answer to the nearest tenth.

(1 point)
Responses

60.0%
60.0%

75.0%
75.0%

150.0%
150.0%

66.7%

1 answer

To find the percentage chance that farmers with rocky soil prefer growing peppers, we need to find the relative frequency of peppers among farmers with rocky soil.

The number of farmers with rocky soil who prefer growing peppers is 150.

The total number of farmers with rocky soil is 250.

To find the relative frequency, we divide the number of farmers with rocky soil who prefer growing peppers by the total number of farmers with rocky soil:

Relative frequency = Number of farmers with rocky soil who prefer growing peppers / Total number of farmers with rocky soil
= 150 / 250
= 0.6

To express this as a percentage, we multiply by 100:

Percentage chance = Relative frequency * 100
= 0.6 * 100
= 60.0%

Therefore, the percentage chance that farmers with rocky soil prefer growing peppers is 60.0%.