Question

a grocery store advertises that 15 cups of granola cost $6.75. which are equivalent prices? check all that apply.
□ 2 cups for $0.90
□ 5 cups for $2.45
□ 8 cups for $3.60
□ 10 cups for $4.05
□ 19 cups for $8.55
□ 25 cups for $11.75

Explanation:

Step1: Find unit price

First, find the unit price of granola from the given 15 cups for $6.75. The unit price \( p \) is calculated by dividing the total cost by the number of cups. So, \( p=\frac{6.75}{15} = 0.45\) dollars per cup.

Step2: Check each option

• For 2 cups for $0.90: Calculate unit price as \( \frac{0.90}{2}= 0.45\) dollars per cup. This matches the unit price.
• For 5 cups for $2.45: Unit price is \( \frac{2.45}{5}=0.49\) dollars per cup. Does not match.
• For 8 cups for $3.60: Unit price is \( \frac{3.60}{8} = 0.45\) dollars per cup. Matches.
• For 10 cups for $4.05: Unit price is \( \frac{4.05}{10}=0.405\) dollars per cup. Does not match.
• For 19 cups for $8.55: Unit price is \( \frac{8.55}{19}= 0.45\) dollars per cup. Matches.
• For 25 cups for $11.75: Unit price is \( \frac{11.75}{25}=0.47\) dollars per cup. Does not match.

Answer:

A. 2 cups for $0.90, C. 8 cups for $3.60, E. 19 cups for $8.55