Answer:
Base rate is $ 120 and each person costs $ 2.
Step-by-step explanation:
Let the equation that shows the total charges for x persons,
y = ax + b
Where,
a = cost per person,
b = base rate of empty bus,
According to the question,
if x = 30, y = $ 180,
180 = 30a + b -------(1),
if x = 50, y = $ 220,
220 = 50a + b -----(2),
Equation (2) - equation (1),
40 = 20a
⇒ a = 2,
From equation (1),
180 = 30(2) + b
180 = 60 + b
⇒ b = 120
Hence, base rate for empty bus = $ 120
And, each person costs $ 2.
