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
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 \( 32 \).