Answer:
c = 0.6d + 1.2
Step-by-step explanation:
Use distance as the independent variable and cost as the dependent variable. Each point (x, y) is (distance, cost).
The 3 mile ride for $3.00 gives you point (3, 3).
The 6 mile ride that cost $4.80 gives you point (6, 4.8).
Now you need to find the equation of the line that passes through points
(3, 3) and (6, 4.8).
y = mx + b
m = slope = (y2 - y1)/(x2 - x1) = (4.8 - 3)/(6 - 3) = 1.8/3 = 0.6
Use point (3, 3).
y = 0.6x + b
3 = 0.6(3) + b
3 = 1.8 + b
b = 1.2
The equation is
y = 0.6x + 1.2
Use c for cost and d for distance to get
c = 0.6d + 1.2
