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Question
pineapple unit prices
$0.49 per cup
$0.51 per cup
$0.55 per cup
$0.48 per cup
$0.45 per cup
nani needs to buy 8 cups of fresh pineapple for a fruit cocktail. the table shows the unit prices (per cup) of pineapple at different stores. if nani only has $4, from which stores could she purchase her pineapple? check all that apply.
☐ store a
☐ store b
☐ store c
☐ store d
☐ store e
Step1: Calculate total cost for each store
For a store with unit price \( p \), total cost for 8 cups is \( 8\times p \). We need \( 8\times p \leq 4 \), so \( p\leq\frac{4}{8} = 0.5 \) dollars per cup.
Step2: Check each store's unit price
- Store A: \( \$0.49 \), \( 0.49\leq0.5 \), total cost \( 8\times0.49 = 3.92\leq4 \)
- Store B: \( \$0.51 \), \( 0.51>0.5 \), total cost \( 8\times0.51 = 4.08>4 \)
- Store C: \( \$0.55 \), \( 0.55>0.5 \), total cost \( 8\times0.55 = 4.4>4 \)
- Store D: \( \$0.48 \), \( 0.48\leq0.5 \), total cost \( 8\times0.48 = 3.84\leq4 \)
- Store E: \( \$0.45 \), \( 0.45\leq0.5 \), total cost \( 8\times0.45 = 3.6\leq4 \)
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A. Store A, D. Store D, E. Store E