Question

(PLEASE HELP) Black Diamond Ski Resort charges $25 for ski rental and $10 an hour to ski. Bunny Hill Ski Resort charges $50 for ski rental and $5 an hour to ski. Create an equation to determine at what point the cost of both ski slopes is the same.

10x + 25 = 5x + 50
10x − 25 = 5x − 50
10x + 50 = 5x + 25
10x − 50 = 5x − 25

Answer 1

To find the point at which the cost of both ski slopes is the same, create an equation equating the total cost for each ski resort. Setting the equations equal to each other and solving for x, we find that the cost is the same after 5 hours of skiing.

Step-by-step explanation:

To determine at what point the cost of both ski slopes is the same, we can create an equation that equates the total cost for each ski resort. Let x represent the number of hours skied.

For Black Diamond Ski Resort, the equation is: Total cost = 10x + 25.

For Bunny Hill Ski Resort, the equation is: Total cost = 5x + 50.

Setting the two equations equal to each other, we have: 10x + 25 = 5x + 50.

Simplifying the equation, we get: 5x = 25.

Dividing both sides by 5, we find: x = 5.

Therefore, the cost of both ski slopes is the same after 5 hours of skiing.