Suppose that `h(x)=4x-5 and h(b)=17.` What is the value of b?

Options

A. 4
B. 5.5
C. 10
D. 17.5

Answer

To solve the problem, we start with the function given and the information provided.

1. **Write down the function and the equation:**
We have the function \( h(x) = 4x - 5 \) and we know that \( h(b) = 17 \).

2. **Substitute \( b \) into the function:**
Since \( h(b) = 17 \), we can substitute \( b \) into the function:
\[ h(b) = 4b - 5 \]
Therefore, we can set up the equation:
\[ 4b - 5 = 17 \]

3. **Solve for \( b \):**
To isolate \( 4b \), we add 5 to both sides of the equation:
\[ 4b - 5 + 5 = 17 + 5 \]
This simplifies to:
\[ 4b = 22 \]

4. **Divide both sides by 4:**
Now, we divide both sides of the equation by 4 to solve for \( b \):
\[ b = \frac{22}{4} \]
Simplifying this gives:
\[ b = 5.5 \]

5. **Conclusion:**
The value of \( b \) is \( 5.5 \).