1MA0 Higher June 2012 Paper 1 Q3
3 Bill uses his van to deliver parcels.
For each parcel Bill delivers there is a fixed charge plus £1.00 for each mile.
You can use the graph to find the total cost of having a parcel delivered by Bill.
(a) How much is the fixed charge? (1)
Ed uses a van to deliver parcels.
For each parcel Ed delivers it costs £1.50 for each mile.
There is no fixed charge.
*(b) Compare the cost of having a parcel delivered by Bill with the cost of having a parcel delivered by Ed. (3)
| Answer | Mark | Notes |
|---|---|---|
| 10 | 1 | B1 cao |
| Working | Answer | Mark | Notes | |||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Ed is cheaper up to 20 miles, Bill is cheaper for more than 20 miles | 3 | M1 for correct line for Ed intersecting at (20,30) ±1 sq tolerance or \(10 + x = 1.5x\) oe C2 (dep on M1) for a correct full statement ft from graph eg. Ed cheaper up to 20 miles and Bill cheaper for more than 20 miles (C1 (dep on M1) for a correct conclusion ft from graph eg. cheaper at 10 miles with Ed ; eg. cheaper at 50 miles with Bill eg. same cost at 20 miles; eg for £5 go further with Bill OR A general statement covering short and long distances eg. Ed is cheaper for shorter distances and Bill is cheaper for long distances) OR M1 for correct method to work out Ed’s delivery cost for at least 2 values of \(n\) miles where \(0 \lt n \leqslant 50\) OR for correct method to work out Ed and Bill’s delivery cost for \(n\) miles where \(0 \lt n \leqslant 50\) C2 (dep on M1) for 20 miles linked with £30 for Ed and Bill with correct full statement eg. Ed cheaper up to 20 miles and Bill cheaper for more than 20 miles (C1 (dep on M1) for a correct conclusion eg. cheaper at 10 miles with Ed ; eg. cheaper at 50 miles with Bill eg. same cost at 20 miles; eg for £5 go further with Bill OR A general statement covering short and long distances eg. Ed is cheaper for shorter distances and Bill is cheaper for long distances) SC : B1 for correct full statement seen with no working eg. Ed cheaper up to 20 miles and Bill cheaper for more than 20 miles QWC: Decision and justification should be clear with working clearly presented and attributable |