Hello! I'll be happy to help you understand which of the given scenarios represent a proportional relationship.
1. A store charges $1.89 per pound for apples.
This scenario represents a proportional relationship. As the weight of apples increases, the cost increases in direct proportion. For example, if you buy 2 pounds of apples, it would cost 2 * $1.89 = $3.78. So, the relationship is proportional.
2. A car travels an average of 25 miles for every gallon of gasoline.
This scenario also represents a proportional relationship. The distance traveled is directly proportional to the amount of gasoline used. If you use 2 gallons of gasoline, the car would travel 2 * 25 = 50 miles. So, this relationship is proportional.
3. A pizza shop charges $10.00 for a pizza plus $1.00 for each topping.
This scenario does not represent a proportional relationship. The cost of the pizza does not vary in direct proportion to the number of toppings. For example, adding 3 toppings to a pizza would cost $10 + 3 * $1 = $13, which is not directly proportional to the number of toppings.
4. A taxi company charges an initial fee of $3.00 plus $2.50 for every mile driven.
This scenario does not represent a proportional relationship. The cost of the taxi ride includes a fixed initial fee and an additional cost per mile, but the relationship is not directly proportional. If you drive 10 miles, the cost would be $3 (initial fee) + 10 * $2.50 = $28, which is not in direct proportion to the distance traveled.
I hope this explanation helps you understand the concept of proportional relationships in the given scenarios!
