Final answer:
Both deals of purchasing CDs are equivalent as they each have a price of $0.33 per CD when the total cost is divided by the number of CDs.
Step-by-step explanation:
The question we are addressing is whether purchasing 15 blank CDs for $5 is equivalent to purchasing 45 blank CDs for $15, and to determine why they are equivalent or not.
To find out if they are equivalent, we need to determine the price per CD in each case. For the first deal, if you buy 15 CDs for $5, the price per CD can be calculated by dividing $5 by 15 CDs, which yields:
$0.33 per CD (rounded to two decimal places).
For the second deal, you get 45 CDs for $15. We use the same method and divide $15 by 45 CDs to find the price per CD:
$0.33 per CD (rounded to two decimal places).
Since both deals have the same price per CD, we can conclude that the two deals are equivalent.