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three classmates are working with three different expressions each classmate substitutes in the value x = 3 into their expression

Whitney: 4x - 8
theo: 4x^2 - 8
Erin:4^x - 8

when substituting in the value x = 3 what do they get results of and which has the largest value

1 answer

Let's evaluate each expression by substituting \( x = 3 \):

  1. Whitney's expression: \[ 4x - 8 = 4(3) - 8 = 12 - 8 = 4 \]

  2. Theo's expression: \[ 4x^2 - 8 = 4(3^2) - 8 = 4(9) - 8 = 36 - 8 = 28 \]

  3. Erin's expression: \[ 4^x - 8 = 4^3 - 8 = 64 - 8 = 56 \]

Now we have the results:

  • Whitney's result: \( 4 \)
  • Theo's result: \( 28 \)
  • Erin's result: \( 56 \)

Comparing the results:

  • Whitney: \( 4 \)
  • Theo: \( 28 \)
  • Erin: \( 56 \)

Erin has the largest value with \( 56 \).