(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
, Theo would get a result of
, and Erin would get a result of
.



expression produced the largest value.​​​​​​

Answer 1

Let's calculate the results for each classmate when substituting \( x = 3 \) into their respective expressions.

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

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

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

Now we have the results:

• Whitney would get a result of 4.
• Theo would get a result of 28.
• Erin would get a result of 4.

Comparison of results:

• Whitney: 4
• Theo: 28
• Erin: 4

Conclusion:
Theo produced the largest value, which is 28.