A ski resorts offers private lessons to their customers. Big time ski mountain charges $5 per hour plus $50 insurance. Powder hills charges $10 per hour plus $30 insurance. How many hours would make the cost of lessons the same for each resort?

4 hours      

Step-by-step explanation:

Big time ski mountain charges $5 per hour plus $50 insurance.

Powder hills charges $10 per hour plus $30 insurance.

Let the number of hours be x.

For big time ski mountain, it means the total cost of x hours of lesson is:

For powder hills , it means the total cost of x hours of lesson is:

We  need to equate both equations to find the time that the costs would be the same.

That is :

Collect like terms:

Divide through by 5:

It would take 4 hours for the cost of the lessons to be the same.

PLEASE MARK ME AS BRAINLIEST

y -5 = (-1/4)(x + 8)

step-by-step explanation: