Respuesta :
Answer:
1767 hours
Step-by-step explanation:
Given equation: [tex]M= 48+6\sqrt{P-3}[/tex]
Where M is monthly number of sales and P is the number of employee hours.
Now, finding number of hours employee worksto have 300 monthly sales.
Using given equation to find the number of employee hours (P).
[tex]M= 48+6\sqrt{P-3}[/tex]
Subtituting the value of M, which is 300.
⇒[tex]300= 48+6\sqrt{P-3}[/tex]
Subtracting both side by 48
⇒ [tex]300-48=6\sqrt{P-3}[/tex]
⇒[tex]252= 6\sqrt{P-3}[/tex]
Dividing both side by 6
⇒ [tex]\frac{252}{6} = \sqrt{P-3}[/tex]
⇒[tex]42= \sqrt{P-3}[/tex]
Taking square of the number on both side.
remember, √a²= a
⇒[tex]42^{2} = P-3[/tex]
⇒[tex]1764= P-3[/tex]
Adding 3 on both side
⇒ [tex]P= 1764+3[/tex]
∴ P= 1767
Hence, 1767 hours must the employees work to have 300 monthly sales.
