A grocery store advertises that 15 cups of granola cost $6.75. Which scenario represents an equivalent price?(1 point)

Question

Responses

25 cups for $11.75
25 cups for $11.75

10 cups for $4.05
10 cups for $4.05

5 cups for $2.45
5 cups for $2.45

8 cups for $3.60

Answer 1

To find an equivalent price for the granola, we need to determine the cost per cup based on the original price of 15 cups for $6.75.

1. Calculate the cost per cup: \[ \text{Cost per cup} = \frac{6.75}{15} = 0.45 \text{ dollars per cup} \]

2. Now, let's check each scenario to see if the cost per cup matches $0.45.

   • 25 cups for $11.75: \[ \text{Cost per cup} = \frac{11.75}{25} = 0.47 \text{ dollars per cup} \quad (\text{not equivalent}) \]

   • 10 cups for $4.05: \[ \text{Cost per cup} = \frac{4.05}{10} = 0.405 \text{ dollars per cup} \quad (\text{not equivalent}) \]

   • 5 cups for $2.45: \[ \text{Cost per cup} = \frac{2.45}{5} = 0.49 \text{ dollars per cup} \quad (\text{not equivalent}) \]

   • 8 cups for $3.60: \[ \text{Cost per cup} = \frac{3.60}{8} = 0.45 \text{ dollars per cup} \quad (\text{equivalent}) \]

Based on the above calculations, the scenario that represents an equivalent price is 8 cups for $3.60.