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

Question

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 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 equivalent because Ella got the same result when she substituted zero for f.
The expressions are equivalent because Ella got the same result 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 not equivalent because Ella would get different results when substituting different numbers for f.

Answer 1

The correct response is:

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

Both expressions \(2f + 3.6\) and \(3f + 3.6\) evaluate to \(3.6\) when \(f = 0\). Since they yield the same result for this substitution, the expressions are indeed equivalent.