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

Question

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.