Foundation June 2023 Paper 1 Q22
22 Hiro and Taylor are both electricians.
Hiro does not charge to visit a house but charges a fixed rate per hour for the work needed.
This graph shows the relationship between the hours worked and the total charge made by Hiro.
(a) Explain how this graph shows that Hiro’s total charge is directly proportional to the hours worked. [2]
(b) Taylor does charge to visit a house and charges the same fixed rate per hour as Hiro for the work needed.
On the axes above, draw a graph to show the relationship between the hours worked and the total charge made by Taylor. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Straight line | 1 | See appendices | |
| Passes through origin | 1 | ||
Appendix
Exemplar responses for 22a
| Response | Mark |
|---|---|
| It is a straight line through origin equal away from both total and hours worked | 1 1 |
| Straight line starting at the origin | 1 1 |
| Because there is a positive correlation and going up in a straight line | 1 0 |
| The charge is going up at a constant rate | 1 0 |
| It is a straight diagonal line | 1 0 |
| It increases at the same rate’ | 1 Bod 0 |
| It starts at 0 | 0 1 |
| Goes up at a steady incline | 0 0 |
| Because it is a positive gradient | 0 0 |
| As it goes straight through the middle - positive middle of what? | 0 0 |
| As the hours increase so does the price | 0 0 |
| Line straight across across implies horizontal line | 0 0 |
| The more hours he works the more money he gets | 0 0 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Straight line intercepting positive \(y\)-axis | 1 | Gradient \(\ne 0\) | |
| Their line drawn parallel to given line | 1 | Min length 4cm | |