For problems like this, we need to find the pattern between the set of numbers to create a general equation for f(x). Given that x is the shipment number, let us first observe the first six shipments' behavior.
1 10 |
2 16 = 10 + 1(6) |
3 22 = 10 + 2(6) |
4 28 = 10 + 3(6)|
5 34 = 10 + 4(6) |
6 40 = 10 + 5(6) |
From these, we can observe that given x number of shipments, the total number of objects would be [tex] 10 + (x-1)6 = 10 + 6x - 6 = 6x +4 [/tex]. Thus, given f(x), we have
[tex] f(x) = 6x + 4 [/tex]
Answer: f(x) = 6x + 4
