A manufacturer estimates that the average worker can assemble products according to the function P (t) = 8.47t+10t+6 where t ≥ 0, t represents the number of weeks since the worker was hired, and P (t) represents the number of products the worker can assemble in an hour.

How many products can the average worker assemble per hour when he or she first starts working?

Question

Mathematics

Darian Hudson

18 July, 06:37

A manufacturer estimates that the average worker can assemble products according to the function P (t) = 8.47t+10t+6 where t ≥ 0, t represents the number of weeks since the worker was hired, and P (t) represents the number of products the worker can assemble in an hour.

How many products can the average worker assemble per hour when he or she first starts working?

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Answers (1)

Know the Answer?

Aria Ellison · Answer 1

24

Step-by-step explanation:

We are given an equation that estimates how many products can an average worker assemble per hour. To obtain that value we have to insert t, which represents how many weeks the worker is employed. We are said that the worker just started working, so the number of weeks he is employed is 1, ie. t = 1. If we insert that into the equation we obtain:

P (1) = 8.47*1+10*1+6

= 8.47+10+6

= 24.47

Therefore, the worker produces 24.47 products per hour. We will round that number and then we get the answer that the worker produces 24 products per hour.