Jackson wants to earn a grade of at least a 90 in Ms. Prier's algebra class. His
grade will be determined by the average of his 3 tests. The first test, he scored an
82. The second test he scored a 92. What is the lowest score he can receive to be
certain he earns a 90 for the 9 weeks?
Let
x -----> score in the third test
average=(82+92+x)/3
the inequality that represents this situation is
![(82+92+x)/(3)\ge90](https://img.qammunity.org/2023/formulas/mathematics/college/2yrf1w83xd6559r2ejinbpbgk448ycqjep.png)
Remember that
"at least" means -----> greater than or equal to
solve for x
![\begin{gathered} 174+x\ge270 \\ x\ge270-174 \\ x\ge96 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/yobrc021g66r7e5vly7fi1ue7d54lvnczp.png)
therefore
the lowest score he can receive is 96