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Question
the starfish diner serves 6 customers. each customer buys a crispy star for 3 shells and a glass of milk for 1 shell. one customer has a coupon, so their glass of milk is free. match each equation to what it means in this context. equation meaning a = 3 + 1 the total cost before the coupon b = (3 + 1)×6 the cost per customer c = (3 + 1)×6 - 1 the total cost after the coupon
Step1: Analyze cost per customer
The cost of a Crispy Star is 3 shells and a glass of milk is 1 shell. So the cost per customer without the coupon is $3 + 1$, which is what $a = 3+1$ represents.
Step2: Calculate total cost before coupon
There are 6 customers, and the cost per customer is $3 + 1$. So the total cost before the coupon is $(3 + 1)\times6$, which is what $b=(3 + 1)\times6$ represents.
Step3: Calculate total cost after coupon
The total cost before the coupon is $(3 + 1)\times6$. Since one customer gets a free - milk (which costs 1 shell), the total cost after the coupon is $(3 + 1)\times6-1$, which is what $c=(3 + 1)\times6 - 1$ represents.
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$a = 3+1$: The cost per customer
$b=(3 + 1)\times6$: The total cost before the coupon
$c=(3 + 1)\times6 - 1$: The total cost after the coupon