If `y = kx`, where k is a constant, and `y = 24` when `x = 6`, what is the value of y when `x = 5` ?

Options

A. 6
B. 15
C. 20
D. 23

Answer

To solve the problem step by step, we can follow these instructions:

1. **Identify the relationship**: We know from the problem that \( y = kx \), where \( k \) is a constant.

2. **Use the given values to find \( k \)**: We are given that \( y = 24 \) when \( x = 6 \). We can substitute these values into the equation to find \( k \):
\[ 24 = k \cdot 6 \]

3. **Solve for \( k \)**: Rearranging the equation gives us:
\[ k = \frac{24}{6} = 4 \]

4. **Substitute \( k \) back into the equation**: Now that we have \( k = 4 \), we can substitute this value back into the equation \( y = kx \) to find \( y \) when \( x = 5 \):
\[ y = 4 \cdot 5 \]

5. **Calculate \( y \)**: Performing the multiplication gives us:
\[ y = 20 \]

Thus, the value of \( y \) when \( x = 5 \) is \( 20 \).