Line Gradient 3D443B
1. **Problem statement:**
We have a straight line graph showing the cost (£) against units used. The line passes through points (0,0) and (100,10).
2. **Formula for gradient:**
The gradient $m$ of a straight line passing through points $(x_1,y_1)$ and $(x_2,y_2)$ is given by:
$$m = \frac{y_2 - y_1}{x_2 - x_1}$$
3. **Calculate the gradient:**
Using points $(0,0)$ and $(100,10)$:
$$m = \frac{10 - 0}{100 - 0} = \frac{10}{100} = 0.1$$
4. **Interpretation of the gradient:**
The gradient represents the change in cost per unit increase in units used. So, it is the cost per unit of gas.
5. **Answer to part b:**
The correct statement is **C - The cost per unit of gas.**