Questions: x y ------ 2 8 5 20 40 12 k=

Solution Steps

To solve this problem, we need to determine the relationship between \( x \) and \( y \). By examining the given pairs, we can identify a pattern or a function that relates \( x \) to \( y \). Once we have the function, we can use it to find the missing values.

1. Identify the relationship between \( x \) and \( y \) using the given pairs.
2. Use the identified relationship to calculate the missing values for \( y \) when \( x = 12 \) and for \( x \) when \( y = 40 \).

Given the data points \((2, 8)\) and \((5, 20)\), we observe that: \[ y = 4x \]

Using the relationship \( y = 4x \): \[ y = 4 \times 12 = 48 \]

Using the relationship \( y = 4x \): \[ x = \frac{y}{4} = \frac{40}{4} = 10.0 \]

Final Answer