katie works as a waitress and records her monthly tips in the table shown below. if katie decided not to…

katie works as a waitress and records her monthly tips in the table shown below. if katie decided not to work the month of november, how would her five - month average compare to her six - month average for monthly tips?\n| june | july | august | september | october | november |\n| $133.45 | $235.31 | $239.45 | $258.87 | $298.45 | $115.67 |\n a. her monthly average would have decreased by $19.57.\n b. her monthly average would have increased by $19.57.\n c. her monthly average would have increased by $2.07.\n d. her monthly average would have decreased by $2.07.

katie works as a waitress and records her monthly tips in the table shown below. if katie decided not to work the month of november, how would her five - month average compare to her six - month average for monthly tips?\n| june | july | august | september | october | november |\n| $133.45 | $235.31 | $239.45 | $258.87 | $298.45 | $115.67 |\n a. her monthly average would have decreased by $19.57.\n b. her monthly average would have increased by $19.57.\n c. her monthly average would have increased by $2.07.\n d. her monthly average would have decreased by $2.07.

Answer

Answer:

b. Her monthly average would have increased by $19.57.

Explanation:

Step1: Calculate six - month average

Sum of six - month tips: $133.45 + 235.31+239.45 + 258.87+298.45+115.67=1281.2$ Six - month average: $\frac{1281.2}{6}\approx213.53$

Step2: Calculate five - month average

Sum of five - month tips (excluding November): $133.45 + 235.31+239.45 + 258.87+298.45 = 1165.53$ Five - month average: $\frac{1165.53}{5}=233.11$

Step3: Find the difference

Difference: $233.11 - 213.53=19.58\approx19.57$ Since $233.11>213.53$, the average increased by approximately $19.57$.