Three classmates are working with three different expressions. Each classmate substitutes in the value x =

Eleanor Parker
Nellie
5x10 5x2 +35 - 40
4 into their expression.
When substituting in the value x = 4, Eleanor would get a result of
Parker would get a result of
I
would get a result of
expression produced the largest value.
:: 10
:: Parker's
:: Nellie's
:: 585
:: Eleanor's
:: 30
:: 20
:: 43
:: 83
:: 400
ין
and Nellie

1 answer

Let's analyze the expressions provided for Eleanor, Nellie, and Parker by substituting \( x = 4 \) into each expression and calculating the results.

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

  2. Nellie's Expression: \( 5x^2 + 35 - 40 \)
    Substituting \( x = 4 \):
    \[ 5(4^2) + 35 - 40 = 5(16) + 35 - 40 = 80 + 35 - 40 = 75 \]

  3. Parker's Expression: \( 4x \)
    Substituting \( x = 4 \):
    \[ 4(4) = 16 \]

Now let's compare the results from their expressions:

  • Eleanor's result: \( 20 \)
  • Nellie's result: \( 75 \)
  • Parker's result: \( 16 \)

The largest value among these results is Nellie's, which is \( 75 \).

So the conclusion is:

  • Nellie's expression produced the largest value.