Let's calculate the results for each classmate's expression when \( x = 4 \).
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Kaleigh's expression: \( 5x + 7 \) \[ 5(4) + 7 = 20 + 7 = 27 \]
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Hank's expression: \( 5x^2 + 7 \) \[ 5(4^2) + 7 = 5(16) + 7 = 80 + 7 = 87 \]
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Sonny's expression: \( 5^x + 7 \) \[ 5^4 + 7 = 625 + 7 = 632 \]
Now we have the results:
- Kaleigh: 27
- Hank: 87
- Sonny: 632
The expression that produced the largest value is Sonny's expression \( 5^x + 7 \) with a result of 632.