A supermarket offers delivery to the customer's house, but makes a charge for the service. The charge is 10% of the cost of the items purchased, plus an extra $1 if any of the items needs to be kept chilled. An additional $3 is added on to the charge if the delivery is over a distance of more than 10km.Jeremy has had his shopping delivered to his house. The delivery cost was $6.40.What is the lowest possible total cost of Jeremy's items?
Correct answer: B. $34
- A. $24
- B. $34
- C. $60
- D. $64
Explanation
To determine the lowest possible total cost of Jeremy's items, we start by analyzing the delivery charge of $6.40. The charge includes 10% of the cost of the items, plus $1 if any item needs to be chilled, and an additional $3 if the delivery distance is over 10km. The minimal configuration for these charges is a $1 chilled item fee and the 10% charge on the cost of items, totaling $4.40 ($6.40 - $1 - $3). This implies the 10% charge accounts for $3.40 of the delivery fee, meaning the cost of the items is $34 ($3.40 / 0.10). Therefore, the lowest possible total cost is $34. Option A suggests a lower item cost, which is inconsistent with the delivery fee constraints. Options C and D assume unnecessarily high item costs, which would result in a delivery fee exceeding $6.40.
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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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