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 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 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.

Answer 1

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

This conclusion can be drawn from Ella's calculations. When she substituted \( f = 0 \) into both expressions, she obtained the same result of \( 3.6 \). Since this is true for at least one value of \( f \), and we don't have evidence of them being different for all values, the expressions can be considered equivalent based on this specific point.