Question

At Lucille's Boutique, the monthly number of sales M is approximately related to the number of employee hours (P) worked by M=48+6P−3−−−−−√. How many hours must the employees work to have 300 monthly sales?

Answer 1

Answer:

1767 hours

Step-by-step explanation:

Given equation: $M= 48+6\sqrt{P-3}$

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).

$M= 48+6\sqrt{P-3}$

Subtituting the value of M, which is 300.

⇒$300= 48+6\sqrt{P-3}$

Subtracting both side by 48

⇒ $300-48=6\sqrt{P-3}$

⇒$252= 6\sqrt{P-3}$

Dividing both side by 6

⇒ $\frac{252}{6} = \sqrt{P-3}$

⇒$42= \sqrt{P-3}$

Taking square of the number on both side.

remember, √a²= a

⇒$42^{2} = P-3$

⇒$1764= P-3$

Adding 3 on both side

⇒ $P= 1764+3$

∴ P= 1767

Hence, 1767 hours must the employees work to have 300 monthly sales.