Question

three classmates are working with three different expressions each classmate substitutes in the value x = 3 into their expression

Whitney: 4x - 8
theo: 4x^2 - 8
Erin:4^x - 8

when substituting in the value x = 3 what do they get results of and which has the largest value

Answer 1

Let's evaluate each 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**:
\[
4^x - 8 = 4^3 - 8 = 64 - 8 = 56
\]

Now we have the results:
- Whitney's result: \( 4 \)
- Theo's result: \( 28 \)
- Erin's result: \( 56 \)

Comparing the results:
- Whitney: \( 4 \)
- Theo: \( 28 \)
- Erin: \( 56 \)

**Erin** has the largest value with \( 56 \).