Three classmates are working with three different expressions. Each classmate substitutes in the value x=5 into their expression.

Question

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.