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 answer is D!

w-10=1/8 (50-60)

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.