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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
the average rainfall decreases
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1 answer

To analyze the intervals from June to December based on the given points of average rainfall:

  • 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 September, the average rainfall shows a gradual increase:

  • June to July: from 0.2 to 0.45 (increase)
  • July to August: from 0.45 to 0.55 (increase)
  • August to September: from 0.55 to 0.7 (increase)

Then, there is a more significant increase from September to October, and this pattern of increase continues:

  • September to October: from 0.7 to 1.6 (increase)
  • October to November: from 1.6 to 2.4 (increase)
  • November to December: from 2.4 to 3.2 (increase)

Overall, the average rainfall increases consistently from June to December.

Thus, the correct response is:

the average rainfall increases.