(4 points) Three classmates are working with three different expressionsEach classmate substitutes in the value x = 4 into their expression Kaleigh Hank Sonny 5x + 7; 5x ^ 2 + 7; 5 ^ x + 7 When substituting in the value z = 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

1 answer

Let's evaluate each expression by substituting \( x = 4 \) into the expressions given for Kaleigh, Hank, and Sonny.

  1. Kaleigh's expression: \[ 5x + 7 \] Substitute \( x = 4 \): \[ 5(4) + 7 = 20 + 7 = 27 \]

  2. Hank's expression: \[ 5x^2 + 7 \] Substitute \( x = 4 \): \[ 5(4^2) + 7 = 5(16) + 7 = 80 + 7 = 87 \]

  3. 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 \( 632 \).