A line graph shows a steady increase from 10 to 40 over 6 months. What is the average monthly increase?

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Multiple Choice

A line graph shows a steady increase from 10 to 40 over 6 months. What is the average monthly increase?

Average rate of change on a line graph is found by dividing the total change by the time period. Here, the value increases from 10 to 40, a total increase of 30. Over six months, that makes the monthly increase 30 ÷ 6 = 5. Since the rise is steady, the monthly amount is constant at 5. So the average monthly increase is 5 per month. If you try the other options, they would imply different total increases over six months (3 per month would be 18 more, ending at 28; 4 per month would be 24 more, ending at 34; 6 per month would be 36 more, ending at 46), which doesn’t match the graph.

Average rate of change on a line graph is found by dividing the total change by the time period. Here, the value increases from 10 to 40, a total increase of 30. Over six months, that makes the monthly increase 30 ÷ 6 = 5. Since the rise is steady, the monthly amount is constant at 5. So the average monthly increase is 5 per month. If you try the other options, they would imply different total increases over six months (3 per month would be 18 more, ending at 28; 4 per month would be 24 more, ending at 34; 6 per month would be 36 more, ending at 46), which doesn’t match the graph.

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