To determine the truth about the expressions given, let's analyze them.
-
Expression 1: \[ 5f + 3.6 \] When \( f = 1 \): \[ 5(1) + 3.6 = 5 + 3.6 = 8.6 \]
-
Expression 2: \[ 6f + 2.6 \] When \( f = 1 \): \[ 6(1) + 2.6 = 6 + 2.6 = 8.6 \]
Both expressions yield the same result (8.6) when \( f = 1 \).
To conclude whether the expressions are equivalent, we also need to see if they are equivalent for different values of \( f \).
- For \( f = 0 \):
- Expression 1: \[ 5(0) + 3.6 = 0 + 3.6 = 3.6 \]
- Expression 2: \[ 6(0) + 2.6 = 0 + 2.6 = 2.6 \]
The expressions yield different results for \( f = 0 \) (3.6 vs. 2.6), showing that they are not equivalent in general.
Thus, the correct choice is:
- The expressions are not equivalent because Ella would get different results when substituting different numbers for \( f \).
Therefore, the response is: The expressions are not equivalent because Ella would get different results when substituting different numbers for f.