Question

The maximum capacity of a bag (in lb) is represented using the following model:


The total weight of the objects in the bag is (23.24 + 31.92) lb.

If so, the total weight can be compared to the maximum capacity as ________.

• A. Total weight = Maximum capacity
• B. Total weight > Maximum capacity
• C. Total weight < Maximum capacity
• D. Cannot be determined.

Answer 1

The correct option is A Total weight = Maximum capacity

Maximum capacity of the bag is represented by:


We can see that the maximum capacity of the bag is represented using 5 cubes, 5 flats, 1 rod, and 6 blocks.

So, the maximum capacity = 55.16 lb

Now, the total weight in the bag is given as (23.24 + 31.92) lb.

The decimals 23.24 and 31.92 can be represented as:


Now, calculating 23.24 + 31.92, we get:


So, the sum of 23.24 + 31.92 is represented using 5 cubes, 4 flats, 11 rods, and 6 blocks.

However, 10 rods = 1 flat
So, 11 space rods = (10 + 1) rods
= 10 rods + 1 rod
= 1 flat + 1 rod


Representing 10 rods as 1 flat, we get:


So, the final sum of 23.24 + 31.92 is represented by 5 cubes, 5 flats, 1 rod, and 6 blocks.

Hence, the total weight = 55.16 lb

Comparing this to the total capacity of 55.16 lb, we find:

Total weight = Maximum capacity