Three classmates are working with three different expressions. Each classmate substitutes in the value x=4

into their expression.

Eleanor
5x−10

parker
5x^2+3

nellie
5^x−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 evaluate each classmate's expression by substituting \( x = 4 \).

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

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

Nellie's expression: \[ 5^x - 40 \] Substituting \( x = 4 \): \[ 5^4 - 40 = 625 - 40 = 585 \]

Now, we summarize the results:

  • Eleanor: \( 10 \)
  • Parker: \( 83 \)
  • Nellie: \( 585 \)

Result:

  • Eleanor would get a result of \( 10 \).
  • Parker would get a result of \( 83 \).
  • Nellie would get a result of \( 585 \).

The expression produced the largest value is Nellie’s expression, \( 5^x - 40 \), which evaluates to \( 585 \).