Slope = (change in price)/(change in number of rides)
slope = (59-35)/(11-5)
slope = 24/6
slope = 4
The slope of 4 means that each time the number of rides (x) goes up by 1, the total price (y) will increase by 4.
Essentially this means that the price per ride is $4.
The slope is m = 4 and one point is (x,y) = (5,35) which is one of the rows in the table. Plug these values into the equation below and solve for b
y = mx+b
35 = 4*5+b
35 = 20+b
35-20 = 20+b-20
15 = b
b = 15
The y intercept is 15. The y intercept is the initial y value when x = 0.
When x = 0, y = 15 telling us that the entrance fee is $15
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Summary:
Entrance Fee = $15
Cost Per Ride = $4
