Question

Ella completed the following work to test the equivalence of two expressions.

What conclusion can you draw from Ella’s work?

A.) The expressions are equivalent because Ella got a different result when she substituted zero for f.
B.) The expressions are equivalent because Ella got the same result when she substituted zero for f.
C.) The expressions are not equivalent even though Ella got the same result when she substituted zero for f.
D.) The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.

Answer 1

The conclusion that can be drawn from Ella's work is that the expressions are equivalent.

Step-by-step explanation:

The conclusion that can be drawn from Ella's work is option B.) The expressions are equivalent because Ella got the same result when she substituted zero for f.

1. Ella substituted zero for f in both expressions and obtained the same result.
2. When two expressions yield the same result for every possible value of the variables involved, they are considered equivalent.
3. In this case, Ella's work shows that substituting zero for f results in the same value for both expressions, indicating that they are equivalent.