Mari and Kai's test scores are shown below: Mari: 72, 80, 90, 73, 74, 90 Kai: 56, 63, 70, 100, 32, 23 If Kai and Mari both got a 100 on the next test, then which student will see a greater increase in his or her math grade? A. Kai B. Both of the students saw a decrease in their averages. C. Both of the students averages remained the same. D. Mari​

A. Kai

Step-by-step explanation:

1st Step - find the average test scores for Mari and Kai

1st Step - find the average test scores for Mari and Kai

Mari: 72 + 80 + 90 + 73 + 74 + 90 = 479

479 ÷ 6 (total number of tests) = 79.8 (Average test score for Mari)

Kai: 56 + 63 + 70 + 100 + 32 + 23 = 344

344 ÷ 6 (total number of tests) = 57.3 (Average test score for Kai)

2nd Step - Now each student got a 100 on the next test (the 7th test). So add 100 to the initial total.

Mari: 479 + 100 = 579

579 ÷ 7 (new total number of tests) = 82.7 (New average test score for Mari)

Kai: 344 + 100 = 444

444 ÷ 7 (new total number of tests) = 63.4 (New average test score for Kai)

3rd Step - find the difference between Mari's test scores. then find the difference between Kai's test scores to see who will have the greatest increase in math grade.

Mari: 82.7 - 79.8 = 2.9

Kai: 63.4 - 57.3 = 6.1

6.1 is greater than 2.9

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square