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Auckland-Opotiki Travel Itinerary
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Auckland-Opotiki Travel Itinerary
🚗 Part 1: Travel Time and Distance Calculations
1. The distance from Auckland to Opotiki is 320 kilometres. If you travel at an average speed of 80 km/h, how long will the journey take?
2. You plan to stop in Tauranga (240 km from Auckland) for lunch. How long will it take to drive from Auckland to Tauranga at 80 km/h?
2 hours 30 minutes
3 hours
3 hours 30 minutes
4 hours
3. Write a linear equation to calculate travel time (T) in hours when you know the distance (D) in kilometres, travelling at 80 km/h.
T = _________________
4. If you leave Auckland at 8:30 AM and drive for 3 hours to Tauranga, what time will you arrive?
💰 Part 2: Budget Planning
5. Accommodation in Opotiki costs $120 per night before GST. Calculate the total cost including 15% GST.
6. A restaurant offers a 10% discount on meals over $50. Your meal costs $65 before the discount. What is the final price after the discount but before GST?
$55.00
$58.50
$60.00
$61.50
7. Calculate your total food budget for the trip. Include GST (15%) on all amounts:
• Lunch in Tauranga: $25 + GST = $__________
• Dinner in Opotiki: $45 + GST = $__________
• Breakfast in Opotiki: $18 + GST = $__________
Total food cost: $__________
📅 Part 3: Complete Your Itinerary
8. Plan your complete travel schedule. Fill in the times and costs:
Departure from Auckland: ___________
Arrival in Tauranga: ___________
Lunch stop duration: ___________ minutes
Departure from Tauranga: ___________
Arrival in Opotiki: ___________
9. Calculate your total trip budget:
Accommodation (including GST): $___________
Food (including GST): $___________
Petrol estimate: $___________
Total budget: $___________
10. Explain how you could use a graph to show the relationship between distance travelled and total travel time. What would each axis represent?
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