Question

Jack needs a final average of at least a 90 to qualify for a scholarship. He earned a 93, 85, and 88 on the first three tests. What is the minimum score he can earn on the final test to qualify for the scholarship?

Question 23 options:

He needs at least an 86 on the final test.


He needs at least a 90 on the final test.


He needs at least a 92 on the final test.


He needs at least a 94 on the final test.


He cannot earn a high enough grade to qualify for a scholarship.

Answer 1

He needs at least a 94 on the final test.

Explanation:

Jack earned a 93, 85, and 88 on the first three tests. Let x be Jack's score on the final test.

The average score on 4 tests is

`(93+85+88+x)/(4)=(266+x)/(4)`

Jack needs a final average of at least a 90 to qualify for a scholarship, so

`(266+x)/(4)\ge 90`

Solve this inequality for x:

`(266+x)/(4)\ge 90\\ \\266+x\ge 360\\ \\x\ge 360-266\\ \\x\ge 94`

He needs at least a 94 on the final test.