7. PART A – Represent these situations using an equation
a) Describe what the following words mean
i) Flagfall
ii) Distance Rate
iii) Booking Fee
8. b) Write an equation to represent the following where distance (d) in km travelled and
(D) =Cost of Daily Rate , (O) = Cost in Overnight Rate and (P) =Cost in Peak Rate
c) For each of the three equations
i) identify the Gradient and Y intercept.
ii) What do these values represent
9. d) What would the cost be if you were to travel the following distances
i) d = 25 km ( Daily Rate )
ii) d= 32.5 km ( Overnight Rate)
iii) d = 11.4km ( Peak Rate )
10. e) If you had the following amount of money, how far could you travel?
i) D = $ 147
ii) O = $211
iii) P = $83
11. PART B – YOUR TRIP
Use the distance calculator at
https://www.uber.com/en-AU/fare-estimate/
to determine the distance to the Melbourne Airport from your house in Km.
Distance =
12. a) Using the rules above, calculate the cost of your trip for each
of the three options
b) Accurately draw the three equations on the same set of axis
for the distance of your trip. Make sure you label each graph
and your axis.
c) Write a statement comparing the cost, advantages and
disadvantages of each trip.
13. • PART 2 – Taxi OR UBERX?
• a) Use the fare estimator at
https://uberfarefinder.com to determine the
maximum cost of hiring an Uber X to travel to the
airport.
14. • Cost of Uber X =
• b) Write an equation to represent the cost of the UberX trip
• c) Draw a line on your graph to represent the cost of Uber X
• d) Describe the gradient of Uber X
• e) Use simultaneous equations to find the distance and cost that the UberX and the taxis are the same for the 3
different situations.
• f) Write a statement comparing the cost of using UberX versus the Taxi’s for all 3 situations.
• g) Which mode of transport would you use to travel from your house to Melbourne Airport? Why?
15. PART 3- GoGo Taxi’s
• GoGo taxis, a rival taxi company has the following
fares represented as equations, where d is distance
travelled in km
Cost in Daily Rate (D2) 𝐷2 − 3.5𝑑 = 2.20
Cost in Overnight Rate
(O2)
2 𝑂2 = 22.80 + 1.8𝑑
Cost in Peak (P2)
𝑃2
2
−
0.38 d = 8.15
16. a) Transpose each of the equations above to write an equation where Cost is the subject for
D2 , O2 and P2
b) Using the distance for your trip, calculate the cost using GoGO taxis for the 3 selections.
c) On 3 separate Sets of axis, Sketch the following
Graph 1 - Daily Rate for the Yellow Cabs and GoGo taxis
Graph 2 - Overnight Rate for the Yellow Cabs and GoGo taxis
Graph 3 –Peak Rate for the Yellow Cabs and GoGo taxis
17. Extension
• d) Use simultaneous equations to find the distance and cost where the two companies are the same for the 3
different situations
• e) Write a statement comparing the cost for each situation.
• When are the two costs the same? What situations would it be beneficial to use each company?
