Three classmates are working with three different expressions.

Question

Each classmate substitutes in the value x = 3 into their expression.
Whitney Theo
Erin
4x - 8
4x² - 8
40 - 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.

Answer 1

Let's evaluate each of the classmate's expressions by substituting \( x = 3 \) into each one.

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

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

Erin's expression: \[ 40 - 8 \] Substituting \( x = 3 \): \[ 40 - 8 = 32 \]

Now we summarize the results:

• Whitney's result: \( 4 \)
• Theo's result: \( 28 \)
• Erin's result: \( 32 \)

Comparing the values:

• Whitney: \( 4 \)
• Theo: \( 28 \)
• Erin: \( 32 \)

The expression that produces the largest value is Erin's, which equals \( 32 \).