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Which situation represents a proportional relationship?(1 point)
The key on a map indicates that 1/2 inch represents 12 miles.
Using a coupon to purchase bottles of apple juice for $2.28 each reduces the total cost by $1.00.
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The map key (1/2 inch represents 12 miles) is a proportional relationship.
Explanation: A proportional relationship has a constant ratio and goes through the origin. The map scale gives a constant ratio of miles to inches (e.g., 1 inch = 24 miles), so distance on the map is proportional to actual distance. The coupon case gives total cost = 2.28·(number of bottles) − 1.00, which has a fixed $1 offset and does not pass through the origin, so it is not proportional.
Explanation: A proportional relationship has a constant ratio and goes through the origin. The map scale gives a constant ratio of miles to inches (e.g., 1 inch = 24 miles), so distance on the map is proportional to actual distance. The coupon case gives total cost = 2.28·(number of bottles) − 1.00, which has a fixed $1 offset and does not pass through the origin, so it is not proportional.
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