Question

Select the correct answer. A company manufactures computers. Function N represents the number of components that a new employee can assemble per day. Function E represents the number of components that an experienced employee can assemble per day. In both functions, t represents the number of hours worked in one day. Which function describes the difference of the number of components assembled per day by the experienced and new employees? A. B. C. D.

Answer 1

The function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Function N represents the number of components that a new employee can assemble per day.

N(t)=(50t)/(t+4)

Function E represents the number of components that an experienced employee can assemble per day.

E(t)=(70t)/(t+3)

In both functions, t represents the number of hours worked in one day. The function which represent the difference of the number of components assembled per day by the experienced and new employees is,

$D(t)=\dfrac{70t}{t+3}-\dfrac{50t}{t+4}\\D(t)=\dfrac{70t(t+2)-50t(t+3)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7(t+4)-5(t+3))}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7t+28-5t-15)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(2t+13)}{(t+4)(t+3)}$

Thus, the function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].

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