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Three classmates are working with three different expressions. Each classmate substitutes in the value x=3

into their expression.

Whitney Theo Erin
4x−8
4x^2−8
4^x−8
When substituting in the value x=3
, Whitney would get a result of
, Theo would get a result of
, and Erin would get a result of
.

3 answers

Let's substitute \( x = 3 \) into each of the expressions for Whitney, Theo, and Erin.

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

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

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

Therefore, the results are:

  • Whitney would get a result of 4.
  • Theo would get a result of 28.
  • Erin would get a result of 56.
but what expression produced the largest value

To determine which classmate's expression produced the largest value, let's summarize the results:

  • Whitney's result: 4
  • Theo's result: 28
  • Erin's result: 56

Comparing the values:

  • Whitney: 4
  • Theo: 28
  • Erin: 56

The largest value is 56 from Erin's expression \(4^x - 8\).