Three boxes, first box has 12 pens for $25, second box has 50 pens for X cost and the third one has 100 pens for $175 . the cost for pens decreases as increase the number of pens . what the cost for the second box?
assume a linear relation. Then you need a constant slope to the function:
(x-25)/(50-12) = (175-x)/(100-50)
or
25/12 - x/50 = x/50 - 175/100
depending on how you are defining the decrease
To find the cost of the second box, we can compare the cost per pen in each box.
Let's compare the first and third boxes:
- The first box has 12 pens for $25, so the cost per pen is $25/12 ≈ $2.08 per pen.
- The third box has 100 pens for $175, so the cost per pen is $175/100 = $1.75 per pen.
We can see that as the number of pens increases, the cost per pen decreases.
Now, we can use this information to find the cost of the second box. Since we know the cost per pen decreases as we increase the number of pens, we can assume that the cost per pen in the second box is less than $1.75.
However, we don't know the exact value of the cost per pen in the second box (represented by X in the question).
Without more information, it is not possible to determine the exact cost for the second box.