Question

Three classmates are working with three different expressions. Each classmate substitutes in the value x=4
into their expression.

Kaleigh 5x + 7
Hank5x^2 + 7
Sonny 5^x + 7

5x+7
When substituting in the value x=4
, Kaleigh would get a result of
, Hank would get a result of
, and Sonny would get a result of
.




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

Answer 1

Let's evaluate each classmate's expression by substituting \( x = 4 \).

**Kaleigh's Expression:**
\[ 5x + 7 \]
Substituting \( x = 4 \):
\[ 5(4) + 7 = 20 + 7 = 27 \]

**Hank's Expression:**
\[ 5x^2 + 7 \]
Substituting \( x = 4 \):
\[ 5(4^2) + 7 = 5(16) + 7 = 80 + 7 = 87 \]

**Sonny's Expression:**
\[ 5^x + 7 \]
Substituting \( x = 4 \):
\[ 5^4 + 7 = 625 + 7 = 632 \]

Now we can summarize the results:
- Kaleigh would get a result of **27**.
- Hank would get a result of **87**.
- Sonny would get a result of **632**.

Therefore, the expression that produced the largest value is Sonny's expression, yielding **632**.