Question

Three classmates are working with three different expressions. Each classmate substitutes in the value x=5 into their expression.
Levi's expression is 3x+6.
Terri's expression is 3x^2 + 6.
Megan's expression is 3^x + 6
When substituting in the value x=5, Levi would get a result of ___, Terri would get a result of ___, and Megan would get a result of ___, ____- Expression produced the largest value.

Answer 1

Let's evaluate each expression by substituting \( x = 5 \):

1. **Levi's expression**:
\[
3x + 6 = 3(5) + 6 = 15 + 6 = 21
\]

2. **Terri's expression**:
\[
3x^2 + 6 = 3(5^2) + 6 = 3(25) + 6 = 75 + 6 = 81
\]

3. **Megan's expression**:
\[
3^x + 6 = 3^5 + 6 = 243 + 6 = 249
\]

Now that we have the results:
- Levi would get a result of **21**.
- Terri would get a result of **81**.
- Megan would get a result of **249**.

The expression that produced the largest value is **Megan's expression** with a result of **249**.