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 b
Mathematics
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Question
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?
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?
1 Answer

1. User Answers sharmaenderp
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 + (x1)6 = 10 + 6x  6 = 6x +4 [/tex]. Thus, given f(x), we have
[tex] f(x) = 6x + 4 [/tex]
Answer: f(x) = 6x + 4