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Answer :
Answer:
The equation that would give the number of parts produced per hour, [tex]P_H[/tex] is given as follows;
[tex]P_H[/tex] = P/H - 100/H
Step-by-step explanation:
The given parameters are;
The number of parts produced is given by the equation, P = 14·x + 100, where x represents the number of hours worked on a particular day
The number of hours worked = H
Therefore, we have;
P = 14·H + 100
At H = 0, P₀ = 100
At H = 1, P = 114
At H = 2, P = 128
Therefore, the rate of change of the number of parts produced with the number of hours spent = The number of parts produced per hour, ΔP/ΔH = [tex]P_H[/tex], is given as follows;
ΔP/ΔH = [tex]P_H[/tex] = (P - P₀)/(H - 0) = P/H - P₀/H = (128 - 100)/(2 - 0) = 14
∴ The number of parts produced per hour, [tex]P_H[/tex] = P/H - 100/H.
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