Let's evaluate each expression by substituting \( x = 4 \) into the expressions given for Kaleigh, Hank, and Sonny.
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Kaleigh's expression: \[ 5x + 7 \] Substitute \( x = 4 \): \[ 5(4) + 7 = 20 + 7 = 27 \]
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Hank's expression: \[ 5x^2 + 7 \] Substitute \( x = 4 \): \[ 5(4^2) + 7 = 5(16) + 7 = 80 + 7 = 87 \]
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Sonny's expression: \[ 5^x + 7 \] Substitute \( x = 4 \): \[ 5^4 + 7 = 625 + 7 = 632 \]
Now, we have the results:
- Kaleigh's result: \( 27 \)
- Hank's result: \( 87 \)
- Sonny's result: \( 632 \)
Conclusion: Sonny's expression produced the largest value, which is \( 632 \).