Question

In a gaming app, Kareem buys 32 bonus tokens for $2.56. Jonah buys 6 bonus tokens for $0.48. Are the costs 'y' and the amounts 'x' proportional? If yes, what is the proportion in terms of a unit rate?

A) Yes, the proportion is y = 0.08x
B) Yes, the proportion is y = 0.16x
C) No, the costs and amounts are not proportional.
D) Yes, the proportion is y = 8x"

Answer 1

The costs 'y' and the amounts 'x' are proportional because both Kareem and Jonah have the same unit rate of $0.08 per bonus token, which gives the proportion y = 0.08x.

Step-by-step explanation:

To determine if the costs 'y' and the amounts 'x' are proportional, we need to calculate the unit rate for each purchase. For Kareem's purchase of 32 bonus tokens for $2.56, we calculate the unit rate by dividing the total cost by the number of tokens:

Unit rate for Kareem = $2.56 / 32 tokens = $0.08 per token

Similarly, for Jonah's purchase of 6 bonus tokens for $0.48, the unit rate is calculated as:

Unit rate for Jonah = $0.48 / 6 tokens = $0.08 per token

Since both Kareem and Jonah have the same unit rate of $0.08 per token, the costs and amounts are proportional, and the proportion can be represented as y = 0.08x.