Get clear, concise, and accurate answers to your questions on IDNLearn.com. Explore a wide array of topics and find reliable answers from our experienced community members.

Mrs. Jones wrote an equation on the board. She asked the students to solve for the variable, w. Marcus solved it on his paper using the following steps. Step 1 Step 2 Step 3 w = 4.34 Part A: Review Marcus' work for solving the equation. State the step in which the error occurred, and describe the error using your mathematics vocabulary. (8 points) Part B: Solve the equation, correcting any errors you may find. Show all the steps in your work. (4 points)

Sagot :

Answer is as follows-

Let's analyze Marcus' steps and then correct the error:

Marcus' steps:
Step 1: \( w = 4.34 \)
Step 2: (No additional steps provided, assuming he concluded here)
Step 3: \( w = 4.34 \)

Error analysis:

Marcus' error occurred in Step 2 where he concluded the solution without performing any operations to isolate \( w \). In algebra, solving typically involves isolating the variable of interest by performing operations to both sides of the equation until the variable is alone on one side.

Correct approach:

Given the equation:
\[ w = 4.34 \]

To solve for \( w \), there's actually no error in Marcus' final conclusion (Step 3), because \( w = 4.34 \) is a correct solution to the equation given. However, if we were to assume there was an error in not showing intermediate steps, let's explicitly state the correct solving process:

1. Start with the equation:
\[ w = 4.34 \]

2. There are no further operations needed to isolate \( w \) since it is already isolated. Therefore, \( w = 4.34 \) is indeed the correct and final solution.

So, based on the given information and Marcus' work, the correct solution to the equation \( w = 4.34 \) is \( w = 4.34 \). If we interpret the question as identifying the error in not showing intermediate steps, we could say Marcus didn't show the steps of isolating \( w \) explicitly, but the final answer itself is correct.





Exhilerated to help

Shubham Ghosh
MIT