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 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.
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 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.

Answer 1

The correct response is:

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

This is because Ella found that both expressions equal 3.6 when she substituted 0 for \( f \). This indicates that both expressions yield the same result for that particular value of \( f \). However, while they may give the same output for \( f = 0 \), it does not necessarily mean they are equivalent for all values of \( f \) unless further testing is done with other values of \( f \).