Three classmates are working with three different expressions. Each classmate substitutes in the value x=3 into their expression. Whitney Theo Erin 4x−8 4x2−8 4x−8 When substituting in the value x=3 , Whitney would get a result of , Theo would get a result of , and Erin would get a result of . expression produced the largest value.​​​​​​

1 answer

Let's evaluate each expression by substituting \( x = 3 \).

Whitney's Expression:

Whitney's expression is: \[ 4x - 8 \] Substituting \( x = 3 \): \[ 4(3) - 8 = 12 - 8 = 4 \] So, Whitney would get a result of 4.

Theo's Expression:

Theo's expression is: \[ 4x^2 - 8 \] Substituting \( x = 3 \): \[ 4(3^2) - 8 = 4(9) - 8 = 36 - 8 = 28 \] So, Theo would get a result of 28.

Erin's Expression:

Erin's expression is the same as Whitney's: \[ 4x - 8 \] Substituting \( x = 3 \): \[ 4(3) - 8 = 12 - 8 = 4 \] So, Erin would get a result of 4.

Summary of Results:

  • Whitney: 4
  • Theo: 28
  • Erin: 4

Conclusion:

With the calculated results, Theo's expression produced the largest value of 28.