Question

Alexis received an 85%, 89%, and 95% on three tests. How many points does she need to score on her next test in order to have an average of at least 92 on the four exams? Part A: Write an inequality that best represents this situation. Part B: Solve the inequalityPart C: You will need at least an least a 92% average ** Reminders ** Step #1 Add the three test grades (these are the tests Alexis has taken) Step #2 Multiply the denominator and at least average she wants to obtain Step #3 Now you will have a one-step inequality. Please solve Step #4 Answer question in a complete sentence

Answer 1

Let:

x = Score of the first test

y = Score of the second test

z = Score of the third test

w = Score of the fourth test

Part A:

`\begin{gathered} Average\ge92 \\ \text{where:} \\ Average=(x+y+z+w)/(4) \\ \text{and:} \\ x=85 \\ y=89 \\ z=95 \\ so\colon \\ (85+89+95+w)/(4)\ge92 \\ (269+w)/(4)\ge92 \end{gathered}`

Part B: