Three classmates are working with three different expressions. Each classmate substitutes in the value x=4x=4 into their expression. Eleanor Parker Nellie 5x−105x−10 5x2+35x2+3 5x−405x−40 When substituting in the value x=4x=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 evaluate each classmate's expression by substituting \( x = 4 \).

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

  2. Parker's Expression: \[ 5x^2 + 35 \] Substituting \( x = 4 \): \[ 5(4^2) + 35 = 5(16) + 35 = 80 + 35 = 115 \]

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

Now let's summarize the results:

  • Eleanor's result: 10
  • Parker's result: 115
  • Nellie's result: -20

Now, we can determine which expression produces the largest value.

Conclusion:

  • Eleanor gets 10,
  • Parker gets 115,
  • Nellie gets -20.

The expression that produced the largest value is Parker's expression with a result of 115.