George runs a manufacturing business and needs to keep track of the inventory in his warehouse each month. The table shows the change in total inventory at the end of each month last quarter.

Question

Month Inventory Change
Jan
+
20
Feb
+
30
Mar
−
70
Which number line represents this information?

A.
The number line shows a backward arrow from 70 to 0, a backward arrow from 100 to 70, and a forward arrow from 80 to 100.

B.
The number line shows a forward arrow from 90 to 160, a backward arrow from 120 to 90, and a backward arrow from 140 to 120.

C.
The number line shows a backward arrow from 160 to 90, a forward arrow from 110 to 130, and a forward arrow from 130 to 160.

D.
The number line shows a backward arrow from 160 to 90, a forward arrow from 130 to 160, and a backward arrow from 150 to 130.George runs a manufacturing business and needs to keep track of the inventory in his warehouse each month. The table shows the change in total inventory at the end of each month last quarter.

Month Inventory Change
Jan
+
20
Feb
+
30
Mar
−
70
Which number line represents this information?

A.
The number line shows a backward arrow from 70 to 0, a backward arrow from 100 to 70, and a forward arrow from 80 to 100.

B.
The number line shows a forward arrow from 90 to 160, a backward arrow from 120 to 90, and a backward arrow from 140 to 120.

C.
The number line shows a backward arrow from 160 to 90, a forward arrow from 110 to 130, and a forward arrow from 130 to 160.

D.
The number line shows a backward arrow from 160 to 90, a forward arrow from 130 to 160, and a backward arrow from 150 to 130.

Answer 1

To find the correct number line representation for George's inventory changes over the last quarter, we can summarize the monthly changes in inventory as follows:

Starting Inventory: Unknown (let's assume he starts with 100 for calculation purposes)

• January:

  • Change: +20
  • New Total Inventory: 100 + 20 = 120

• February:

  • Change: +30
  • New Total Inventory: 120 + 30 = 150

• March:

  • Change: -70
  • New Total Inventory: 150 - 70 = 80

Now, let's summarize:

• Starting Inventory: 100 (hypothetical for calculations)
• After January: 120 (forward arrow from 100 to 120)
• After February: 150 (forward arrow from 120 to 150)
• After March: 80 (backward arrow from 150 to 80)

Now we need to match this information with the provided options.

Review of the Options:

• A: Does not match, since it ends at 100.
• B: Does not match, as it starts from 90 and goes up, which doesn't reflect the calculation.
• C: Does not match the ending values as it goes backward from 160 to 90.
• D: Does not match because it discusses changes that do not reflect our calculated values.

It appears closely matching the changes is difficult, but we can affirm:

• Starting from 100 to 120 (+20), to 150 (+30), and then backward to 80 (-70) is crucial.

Based on this, none of the provided options correctly represent the inventory changes over the months as described. If you have the possibility to reassess the options or provided data, I suggest checking again, or if you provide different options, I can further analyze them.

For final analysis, it seems as though the correct number-line representation isn't explicitly included in the choices given here.