Question

9
kilograms
boards

Explanation:

Step1: Identify two points

The line passes through (0, 0) and (10, 70) (assuming the top y - value is 70, as the grid seems to have y - axis marked with 0,10,20,30,40,50,60,70).

Step2: Calculate the slope

The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Using \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(10,70)\), we get \(m = \frac{70 - 0}{10 - 0}=\frac{70}{10}=7\). So the equation of the line is \(y = 7x\), meaning each board weighs 7 kilograms. (If we take another point, say (5,35), \(\frac{35 - 0}{5 - 0}=7\), which confirms the slope.)

Answer:

The relationship is linear with a slope of 7, meaning the weight (in kilograms) is 7 times the number of boards. The equation is \(y = 7x\) where \(x\) is the number of boards and \(y\) is the weight in kilograms.