(4 points)

Question

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
4
, Theo would get a result of
4
, and Erin would get a result of
28
.



Theo's
expression produced the largest value.​​​​​​

Answer 1

Let's evaluate each expression by substituting \( x = 3 \) into them:

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: \( 4x - 8 \) \[ 4(3) - 8 = 12 - 8 = 4 \]

Now, let's summarize the results:

• Whitney's result: \( 4 \)
• Theo's result: \( 28 \)
• Erin's result: \( 4 \)

Comparing the results, we see:

• Whitney: \( 4 \)
• Theo: \( 28 \)
• Erin: \( 4 \)

Theo's expression produced the largest value, which is \( 28 \).