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.

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step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph