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.​​​​​​

1 answer

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: \( 5x^2 + 3 \).