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)

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

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

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

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

Answer 1

The correct answer is:

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

Ella tested both expressions with the same value of \( f \) (which is zero) and obtained the same result (3.6), indicating that the two expressions are equivalent.

Answer 2

thats wrong

Answer 3

I apologize for the confusion. Let's reevaluate the problem carefully.

The two expressions tested by Ella are:

1. \( 2f + 3.6 \)
2. \( 3f + 3.6 \)

When Ella substituted zero for \( f \):

• For the first expression: \( 2(0) + 3.6 = 0 + 3.6 = 3.6 \)

• For the second expression: \( 3(0) + 3.6 = 0 + 3.6 = 3.6 \)

Both expressions yield the same result of 3.6 when \( f = 0 \), but this does not necessarily mean they are equivalent for all values of \( f \).

For example:

• If \( f = 1 \):
  • First expression: \( 2(1) + 3.6 = 2 + 3.6 = 5.6 \)
  • Second expression: \( 3(1) + 3.6 = 3 + 3.6 = 6.6 \)

The results differ.

Thus, the correct answer is:

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

Thank you for your patience, and I appreciate the correction!