Question

Three classmates are working with three different expressions. Each classmate substitutes in the value x=4 into their expression. Eleanor Parker Nellie 5x−10 5x2+3 5x−40 When substituting in the value x=4 , Eleanor would get a result of Response area, Parker would get a result of Response area, and Nellie would get a result of Response area Response areaexpression produced the largest value.​​​​​​

Answer 1

Let's substitute \( x = 4 \) into each of the classmates' expressions and calculate the results:

1. **Eleanor's Expression: \( 5x - 10 \)**
\[
5(4) - 10 = 20 - 10 = 10
\]

2. **Parker's Expression: \( 5x^2 + 3 \)**
\[
5(4^2) + 3 = 5(16) + 3 = 80 + 3 = 83
\]

3. **Nellie's Expression: \( 5x - 40 \)**
\[
5(4) - 40 = 20 - 40 = -20
\]

Now, let's summarize the results:

- Eleanor: \( 10 \)
- Parker: \( 83 \)
- Nellie: \( -20 \)

From these calculations, Parker produced the largest value of \( 83 \).

So, the final answer is:
- Eleanor would get a result of **10**,
- Parker would get a result of **83**,
- Nellie would get a result of **-20**.

The expression produced the largest value is Parker's: **\( 5x^2 + 3 \)**.