(4 points) 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 classmate's expression by substituting \( x = 3 \).

  1. Whitney's expression: \( 4x - 8 \) \[ 4(3) - 8 = 12 - 8 = 4 \]

  2. Theo's expression: \( 4x^2 - 8 \) \[ 4(3^2) - 8 = 4(9) - 8 = 36 - 8 = 28 \]

  3. Erin's expression: \( 4x - 8 \) (which is the same as Whitney's) \[ 4(3) - 8 = 12 - 8 = 4 \]

Now, summarizing their results:

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

Among the results, Theo produced the largest value, which is 28.