First six shipments:

1 answer:

3 0

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 $10 + (x-1)6 = 10 + 6x - 6 = 6x +4$ . Thus, given f(x), we have

$f(x) = 6x + 4$
Answer: f(x) = 6x + 4

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