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?

1767 hours

Step-by-step explanation:

Given equation:

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).

Subtituting the value of M, which is 300.

⇒

Subtracting both side by 48

⇒

⇒

Dividing both side by 6

⇒

⇒

Taking square of the number on both side.

remember, √a²= a

⇒

⇒

Adding 3 on both side

⇒

∴ P= 1767

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

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