amara recorded the dates of four major moon phases during the month of september. her results are shown in…

amara recorded the dates of four major moon phases during the month of september. her results are shown in the table below. moon phase date third quarter september 5 new moon september 12 first quarter september 21 full moon september 27 using amaras data, predict the date on which the next new moon will occur. choose 1 answer: a october 5 b october 12 c october 21 d october 27

amara recorded the dates of four major moon phases during the month of september. her results are shown in the table below. moon phase date third quarter september 5 new moon september 12 first quarter september 21 full moon september 27 using amaras data, predict the date on which the next new moon will occur. choose 1 answer: a october 5 b october 12 c october 21 d october 27

Answer

Explanation:

Step1: Calculate days between new - moon and next phase

The new moon is on September 12 and the first quarter is on September 21. The number of days between them is $21 - 12=9$ days.

Step2: Calculate days between first - quarter and full - moon

The first quarter is on September 21 and the full - moon is on September 27. The number of days between them is $27 - 21 = 6$ days.

Step3: Calculate days between full - moon and next new - moon

The full - moon is on September 27. A lunar cycle from full - moon to new - moon is approximately half of the lunar cycle from new - moon to new - moon. The time from new - moon to full - moon is $9 + 6=15$ days. So the time from full - moon to new - moon is also about 15 days.

Step4: Calculate date of next new - moon

September has 30 days. Starting from September 27, after 15 days, $27+15 - 30=12$. So the next new - moon is on October 12.

Answer:

B. October 12