Lionel is loading boxes of books into an elevator to move to the 35th floor of an office building . There are 10 boxes of books , and Lionel wants to makesto make sure he is not exceeding the maximum weights the same amount , how much can each box weight ? Solve this problem and then graph the solution on a number line.
To find the weight of each box, we need to divide the total weight of all the boxes by the number of boxes.
Let's denote the weight of each box as x.
The total weight of all the boxes is 10x.
We know that Lionel does not want to exceed the maximum weight. Therefore, we can set up an inequality:
10x ≤ maximum weight
Since we don't know the maximum weight, we can represent it as a variable, let's say M.
10x ≤ M
Now let's graph the solution on a number line.
Since we don't know the actual value of M, we cannot graph the exact inequality. However, we can represent the possible range of values for M on the number line.
On the number line, we can choose any point as a reference. Let's choose 0.
0 --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Now, we know that 10x ≤ M.
Since x represents the weight of each box, it can take any positive value, including 0.
Therefore, we can place an arrow to the right of the number line to represent the possible values for M.
0 --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- >
This indicates that the maximum weight (M) can be any value greater than or equal to 0.
In conclusion, the weight of each box can be any value greater than or equal to 0.