Final answer:
The value of the expression 2y² − 8y when y=6 is 24. The provided options do not include this result, implying an error in the question or an ignored term involving 'a'.
Step-by-step explanation:
The student has been given a quadratic expression to evaluate, which is 2y² − 8y. To find the value of this expression when y = 6, we need to substitute 6 in place of y and then simplify.
Substituting y = 6 into the expression, we get:
2(6)² − 8(6) = 2(36) − 48 = 72 − 48 = 24
The error in the provided options indicates that likely there was another term involving 'a' which was ignored. Assuming this term does not impact the evaluation when y = 6, the correct evaluation leads to the value of 24, which is not listed among the options given (a. 50, b. 58, c. 70, d. 82).