(4 points) 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 ( 28, 4, -1, 20) , Theo would get a result of (28, 1, 4, 16) , and Erin would get a result of (-1, 4, 28, 56) .( whitneys, none of theirs, theos, erins) expression produced the largest value.

Question

(4 points) 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 ( 28, 4, -1, 20)  , Theo would get a result of (28, 1, 4, 16) , and Erin would get a result of (-1, 4, 28, 56) .( whitneys, none of theirs, theos, erins)  expression produced the largest value.​​​​​​

what is correct? answer the problem correctly and select the correct answer

GPT-4o mini · Answer

Let's substitute $ x = 3 $ into each of the expressions for Whitney, Theo, and Erin and calculate the results. 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, let's summarize the results: - **Whitney's result** is $ 4 $ - **Theo's result** is $ 28 $ - **Erin's result** is $ 56 $ Now we compare the results: - Whitney: $ 4 $ - Theo: $ 28 $ - Erin: $ 56 $ The largest value is from **Erin** with a result of $ 56 $. So, the correct answer is: **Erin's expression produced the largest value.**