Which of the following values for b makes the inequality −32.5−6b≥48.5 true?(1 point)

To solve the inequality \(-32.5 - 6b \geq 48.5\), we first isolate \(b\).

1. Add \(32.5\) to both sides:

\[
-6b \geq 48.5 + 32.5
\]

2. Calculate the right-hand side:

\[
-6b \geq 81
\]

3. Now, divide both sides by \(-6\). Remember that when dividing or multiplying by a negative number, the inequality sign changes direction:

\[
b \leq -\frac{81}{6}
\]

4. Simplifying \(-\frac{81}{6}\):

\[
b \leq -13.5
\]

This means \(b\) can be any value less than or equal to \(-13.5\).

Now, let's check the given choices:

1. **−13.5**: This value satisfies \(b \leq -13.5\).
2. **−12**: This value does not satisfy \(b \leq -13.5\).
3. **−12.5**: This value does not satisfy \(b \leq -13.5\).
4. **−13**: This value does not satisfy \(b \leq -13.5\).

Therefore, the only choice that makes the inequality true is:

**−13.5**