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.
