Final answer:
The question involves using a double number line to demonstrate scaling and proportional relationships in the cost of computer memory. Students learn to multiply figures on a number line until they cannot clearly label them anymore, helping understand the principles of scaling and unit conversion in computing.
Step-by-step explanation:
The question involves creating a double number line to represent the cost of computer memory in gigabytes (GB). Given that 128 GB of memory cost $30 in 2016, you can create additional tick marks on this number line by multiples of the initial amount. You continue this process of multiplying until no clear labels can be made. This is a common task in mathematics when dealing with proportional relationships or understanding scaling.
When it comes to the context of computer memory, it's worth noting that storage space units such as kilobytes (KB), megabytes (MB), gigabytes (GB), and terabytes (TB) are relevant. For instance, 1 TB equals 1024 GB, 1 GB equals 1024 MB, and so on.
Typically, in problems like these, the goal is to understand how to scale quantities and prices in a proportional way. In other contexts, you might multiply the quantity of items by their individual cost to get a total expenditure, as seen in the provided examples, which reflect cost calculations for various technologies and fruit purchases.
Understanding how to work with multiplicative prefixes, such as those used to denote quantities of computer memory, is also crucial in such exercises. One million bytes, for instance, is commonly referred to as a megabyte (MB).