Snow Valley Ski Club
By Hansneer Bhurji
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?
slope = Δy/ Δx = 100-50/2-1 = 50/1= 50
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).
slope = Δy/ Δx = 150-125/2-1 = 25/1= 25
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
To find intersection point:
y=50x and y=25x +100
- find x
25x/25 = 100/25
- substitute x in equation
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.