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:He needs at least a 94 on the final test.Step-by-step 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[tex]\dfrac{93+85+88+x}{4}=\dfrac{266+x}{4}[/tex]Jack needs a final average of at least a 90 to qualify for a scholarship, so[tex]\dfrac{266+x}{4}\ge 90[/tex]Solve this inequality for x:[tex]\dfrac{266+x}{4}\ge 90\\ \\266+x\ge 360\\ \\x\ge 360-266\\ \\x\ge 94[/tex]He needs at least a 94 on the final test.