# Snow Valley Ski Club

### By Hansneer Bhurji

**Josh wants to join the Ski Club at Snow Valley Ski resort this winter season. He is considering two payment options:**

**Plan A - Standard Rate **

**$50 per visit and No registration fee. **

**Plan B - Frequent Extremist **

**$25 per visit plus $100 registration fee. **

**Which payment option should Josh chose? **

## Equation

**Plan A -**

**slope = Δy/ Δx = 100-50/2-1 = 50/1= 50 **

**y=50x **

**Where y= the total cost (dependent variable) and x= is the number of visits (Independent variable). Since there is no registration fee the line will start at (0,0). **

**Plan B-**

**slope = Δy/ Δx = 150-125/2-1 = 25/1= 25**

**y=25x+b **

**Where y= the total cost (dependent variable) and x= is the number of visits (Independent variable) and b= y-intercept (registration fee). **

**Therefore the equation is y=25x+100**

## Intersection Point

**The Intersection point in the graph is (4,200).**

**To find intersection point:**

**y=50x and y=25x +100 **

- find x

** 50x=25x+100**

**50x-25x=100**

**25x/25 = 100/25**

** x=4**

- substitute x in equation

**y=50x **

**y=50 (4) **

**y= 200 **

**This point is significant because if Josh visits Snow Valley for 4 times he can chose any of the payment options since they will both cost him $200 but if he goes less than 4 times Josh should chose Plan A because he would have to pay less. On the other hand if Josh goes more than 4 times he should chose Plan B.**