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

Question

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

2f+3.6

2(0)+3.6

0+3.6

3.6

3f+3.6

3(0)+3.6

0+3.6

3.6

Which is true about the expressions?

(1 point)
Responses

The expressions are not equivalent because Ella would get different results when substituting different numbers for f.
The expressions are not equivalent because Ella would get different results when substituting different numbers for f.

The expressions are equivalent because Ella got different results when she substituted zero for f.
The expressions are equivalent because Ella got different results when she substituted zero for f .

The expressions are not equivalent because Ella would get the same results when substituting different numbers for f.
The expressions are not equivalent because Ella would get the same results when substituting different numbers for f.

The expressions are equivalent because Ella got the same result when she substituted zero for f.

Answer 1

Bot GPT 4-o mini answered
2 hours ago

The correct response is:

The expressions are equivalent because Ella got the same result when she substituted zero for f.

Ella evaluated both expressions \(2f + 3.6\) and \(3f + 3.6\) by substituting \(f = 0\), and both resulted in \(3.6\). This indicates that the two expressions are equivalent for the value substituted. However, it is important to note that just checking one value does not prove the expressions are equivalent for all values of \(f\). They are equivalent if they simplify to the same expression across all values. Since both evaluate to the same result with the same substitution for \(f\), the more accurate conclusion based on her specific work is that they are equivalent for that substitution.