Package Delivery Charges by Distance (FAST TRACK)
Package Delivery Charges by Distance (FAST TRACK)
TGM Original Questions
The graph below shows the charges by FAST TRACK, a package delivering company.
There is a fixed charge of \(\$3\) and for the first \(20\) km is charged at \(50\) cents per km, next \(25\) km at \(\$1\) per km and any additional km at \(y\) dollars per km.
- Find the value of \(y\).
- Find the cost of delivering the package \(50\)km away.
- If the cost of delivery is \(\$33\), find the distance the package was delivered.
- Another company GHL, delivers package and charges a flat rate of \(\$1.50\) per km but does not have a fixed charge.
- Draw a line on the grid to represent the charge by GHL.
- For a particular distance, the charges from both companies are the same. Find this distance.
Video Solution:
Video solution locked
A free account saves your progress; this video needs a course plan.
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.
Create a free account to practise similar questions.
Answer:(a) \(y=1.35\). (b)(i) \(\$44.75\), about \(\$45\) graphically. (ii) 40 km. (c)(i) \(F=1.5d\), drawn in the solution. (ii) 3 km, at \(\$4.50\).
Need help? Join our A-Maths tuition classes.
Learn more