The relationship between number of rides and amount spent is linear.
The linear equation is : y = 1.75x + 3.5. The cost of each ride is 1.75 and the entrance fee is 3.5
1.)
Plotting the pair of points on a graph, the trend of the graph is linear . Hence, the relationship between amount spent and number of rides is linear.
2.)
The linear relationship can be expressed in slope-intercept form thus:
- y = bx + c
- b = slope ; c = intercept
Using the pair of points: (4, 10.5) ; (6 , 14)
b = Rise / Run
b = (14 - 10.5) / (6 - 4) = 1.75
Now we have :
y = 1.75x + c
To obtain c :
Using the point (6, 14)
14 = 1.75(6) + c
c = 3.5
Now we have :
y = 1.75x + 3.5
This can be interpreted thus : Cost per ride is 1.75 and the entrance fee is 3.5