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Question One
• Tayla and Naomi travel separately from Mathemahoe to Graftown. Graftown is 240km from Graftown. The graph below shows their distances from Graftown in kilometres, D, and the time, t, in hours.
Tayla leaves 1 hour after Naomi and travels at a speed of 60km/hr. She arrives 1 hour before Naomi. After 3 hours they are
both 120 km from Graftown.
Tayla’s journey is shown on the graph. Her journey is made up of 2 parts. Write the
equations of both parts.
Question Four
• Bio-fuel made from recycled cooking oil is currently produced for $2.60 per litre. Scientists predict that as their knowledge and technology improves, the cost of production will initially increase but will then decrease until the cost reaches $0.50 per litre. The model for the production cost of 1 litre of bio-fuel from recycled cooking oil over the next 7 years has the formula
The graph of the model is sketched below.C is the production cost per litre and t the time in years.
Question 5
• A hybrid car is fueled by a combination of battery and petrol power.
• It is predicted that the number of taxis that are not hybrid will decrease for the next 4 years at which point all taxis will be hybrid.
In a survey this year no taxis were hybrid. The parabola illustrates this situation. Write the equation of the parabola.
In a survey this year no taxis were hybrid. The parabola illustrates this situation. Write the equation of the parabola.