William buys a bus ticket every day, Monday to Friday, for $2.50. The bus company has just introduced a card which can be bought to get a discount on all bus fuels.Each carals valid for 4 weeks. William has worked out that he will pay exactly the same amount for the card as he will if he continues to buy tickets at the normal price. Which of the following could be the price and discount for the card?
Correct answer: A. $5 for the card and a discount of 10% on ticket prices
- A. $5 for the card and a discount of 10% on ticket prices
- B. $5 for the card and a discount of 50% on ticket prices
- C. $10 for the card and a discount of 50% on ticket prices
- D. $10 for the card and a discount of 80% on ticket prices
Explanation
The correct answer is Option A: $5 for the card and a discount of 10% on ticket prices. This combination ensures that the total cost of purchasing the card and using the discount is equal to the cost of buying individual tickets. Options B, C, and D are incorrect because they either offer a discount that makes the card cheaper than buying individual tickets or a card price that results in a higher total cost.
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Scientific reasoning evaluates hypotheses through observations, variables, controls, measurements and experimental results. Questions involve identifying independent and dependent variables, recognising a fair test, interpreting tables or graphs, distinguishing evidence from opinion, and deciding whether data supports, rejects or leaves a hypothesis unresolved.
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