Tim uses his lorry to deliver turf you can use this graph to find the delivery costs for different distances. For each delivery there is a fixed charge plus a charge for distance A) how much is the fixed charge? Tim makes two delvers of turf. The distance of one delivery is 20 miles more than the distance of the other delivery. B) What is the difference between the two delivery costs?
Answers
Given : Tim uses his lorry to deliver turf . Graph showing delivery costs for different distances . For each delivery there is a fixed charge plus a charge for distance
To find : fixed charge , difference between the two delivery costs for 2 miles difference
Solution:
Let say total Cost = Fixed Charge + Charge per unit of distance * Distance
T = F + CD
T = Total Cost for a given Distance £
F = Fixed Cost £
C = Cost per unit of distance £ / miles
D = Distance Miles
From graph for D = 0 T = 12
=> 12 = F + C(0)
=> F = 12
Fixed Cost = 12
For Distance 20 Cost = 40
=> 40 = F + C(20)
=> 40 = 12 + 20C
=> C = 28/20
=> C = 1.4 £ / miles
Let say Distance for one Delivery = x & for other = x + 20
Charges are = 12+ 1.4x & 12 + 1.4(x + 20)
Difference = 12 + 1.4(x + 20) - 12+ 1.4x = 28 £
fixed charge = 12 £
difference between the two delivery costs with 20 miles difference = 28 £
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