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Question
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A line graph shows months of the year versus average rainfall. The x-axis represents month of the year, ranging from January to December. The y-axis shows the average rainfall in inches ranging from 0 to 4 in increments of 1. A curve is plotted on the graph that passes through the following approximate points left parenthesis January comma 2.3 right parenthesis, left parenthesis February comma 2 right parenthesis, left parenthesis March comma 2 right parenthesis, left parenthesis April comma 0.6 right parenthesis, left parenthesis May comma 0.6 right parenthesis, June comma 0.2 right parenthesis, left parenthesis July comma 0.45 right parenthesis, left parenthesis August comma 0.55 right parenthesis, left parenthesis September comma 0.7 right parenthesis, left parenthesis October comma 1.6 right parenthesis, left parenthesis November comma 2.4 right parenthesis, and left parenthesis December comma 3.2 right parenthesis.

Consider the given graph. Analyze the intervals during the months from June to December and describe how that corresponds to the average rainfall.

(1 point)
Responses

the average rainfall remains constant
the average rainfall remains constant

the average rainfall increases
the average rainfall increases

the average rainfall increases then decreases
the average rainfall increases then decreases

the average rainfall decreases

1 answer

To analyze the intervals from June to December based on the points you provided, we can note the average rainfall for each month during that time:

  • June: 0.2 inches
  • July: 0.45 inches
  • August: 0.55 inches
  • September: 0.7 inches
  • October: 1.6 inches
  • November: 2.4 inches
  • December: 3.2 inches

From June to July, the rainfall increases from 0.2 inches to 0.45 inches.

From July to August, it slightly increases from 0.45 inches to 0.55 inches.

From August to September, it increases again from 0.55 inches to 0.7 inches.

From September to October, there is a more significant increase from 0.7 inches to 1.6 inches.

From October to November, it rises from 1.6 inches to 2.4 inches.

From November to December, it continues to rise from 2.4 inches to 3.2 inches.

Overall, during the period from June to December, the average rainfall is consistently increasing.

Therefore, the correct response is:

the average rainfall increases.