Question

Determine which description represents a proportional relationship.

a) Lauren swims 10 laps in 15 minutes, and then 1 lap every 2 minutes after that.
b) Pasquale needs 2 cups of applesauce for each 2 dozen applesauce muffins he bakes
c) Tickets to a musical are $8 each, with a $1 discount per ticket for 10 or more tickets.
d) Liam starts with $30 in his bank account. He deposits $15 into his bank account each week.

Answer 1

The description representing a proportional relationship is that Pasquale needs 2 cups of applesauce for each 2 dozen applesauce muffins, as it shows a consistent ratio.

Step-by-step explanation:

To determine which description represents a proportional relationship, we need to analyze each option.

1. a) Lauren swims 10 laps in 15 minutes, and then 1 lap every 2 minutes after that. This is not proportional because the relationship changes after the initial 15 minutes.
2. b) Pasquale needs 2 cups of applesauce for each 2 dozen applesauce muffins he bakes. This is proportional because there's a constant ratio of applesauce to muffins.
3. c) Tickets to a musical are $8 each, with a $1 discount per ticket for 10 or more tickets. This is not proportional because the price per ticket changes depending on the number purchased.
4. d) Liam starts with $30 in his bank account. He deposits $15 into his bank account each week. This is not proportional because there's an initial amount that does not fit into the regular pattern of deposits.

Therefore, the description that represents a proportional relationship is option b, where Pasquale needs 2 cups of applesauce per 2 dozen muffins. This describes a situation where the ratio between the quantity of applesauce and muffins remains consistent.