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Answer:
Part A: C) The order of discounts does not matter.
Part B: both prices are $54.91
Step-by-step explanation:
<u>Part A</u>:
The calculation of the final price can be ...
((original price)·(1 - membership discount))·(1 -sale discount)
= ((original price)(0.88))(0.80)
The associative and commutative properties of multiplication tell you this is fully equivalent to ...
= (original price)(0.80)(0.88)
In short, <em>the order of discounts does not matter</em>.
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<u>Part B</u>:
When the membership discount is applied first, the final price is ...
($78)(0.88)×0.80 = $68.64·0.80 = $54.91
When the sale discount is applied first, the final price is ...
($78)(0.80)×0.88 = $62.40·0.88 = $54.91
