Question

I need help on 16 I’m not sure if my answer is correct and I need help on the table

Answer 1

The number of boxes at 3 hours from the opening can be written as:

$\begin{gathered} 52\cdot3+b=404 \\ 156+b=404 \\ b=404-156 \\ b=248 \end{gathered}$

The term 52 * 3 represents the number of boxes produced in the 3 hours, so b is the initial stock.

As the sum of the boxes produced and the initial stock is 404, b is equal to 248.

To complete the table we use the relation:

$y=248+52x$

Replacing the values for x, we can find the value of y:

$\begin{gathered} x=0\to y=248+52\cdot0=248 \\ x=1\to y=248+52\cdot1=248+52=300 \\ x=2\to y=248+52\cdot2=248+104=352 \\ x=3\to y=248+52\cdot3=248+156=404 \end{gathered}$

Answer: the initial stock is 248 boxes.