Cynthia works at a factory where they make ties. At the beginning of the day as Cynthia greets other workers and gathers her materials, she gets little done. At the end of the day as she gets fatigued and as she cleans up her work station, her production drops off. The number of ties Cynthia makes each hour can be modeled by the equation b=5t−0.625t^2 where b is the number of ties and t is the number of hours since she begins her shift.

What is a reasonable domain and a reasonable range for this situation?

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22-08-2022
Mathematics

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Cynthia works at a factory where they make ties. At the beginning of the day as Cynthia greets other workers and gathers her materials, she gets little done. At the end of the day as she gets fatigued and as she cleans up her work station, her production drops off. The number of ties Cynthia makes each hour can be modeled by the equation b=5t−0.625t^2 where b is the number of ties and t is the number of hours since she begins her shift.

What is a reasonable domain and a reasonable range for this situation?

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topeadeniran2 topeadeniran2 · Answer 1 · 2022-08-24T22:40:03+02:00

The reasonable domain and a reasonable range for this situation will be D = 0 <= t <= 8, R = 0 <= b = 16.

What is domain?

It should be noted that the domain simply means the set of values that are allowed to be plug into the function.

From the information, Cynthia makes each hour can be modeled by the equation b=5t−0.625t^2 where b is the number of ties and t is the number of hours since she begins her shift.

Here, the reasonable domain and a reasonable range for this situation will be D = 0 <= t <= 8, R = 0 <= b = 16.

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