First six shipments:
10, 16, 22, 28, 34, 40
A factory is producing a linear number of objects in each shipment. If x = the shipment number, which function can be used to determine how many objects are in that shipment?
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
