The weight, w, in tons of a school bus is related linearly to its seating capacity, p. a 60-passenger bus weighs 10 tons, and an 84-passenger school bus weighs 13 tons. which equation can be used to find the weight of a 50-passenger bus?
The linear equation of relating two objects can be written in the form,
y = ax + b
Our x is the number of passenger and y is the weight (in tons). Using the first two conditions,
10 = 60(a) + b
13 = 84(a) + b
The values of a and b from the equations are 0.125 and 2.5.
For 50-passenger bus,
y = (50)(0.125) + 2.5
The value of y is 8.75.