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 \( 585 \).