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?
Answer
A
w minus 10 is equal to 50 over 71 times open paren 50 minus 60 close paren
B
w minus 10 is equal to 1 eighth times open paren 50 minus 60 close paren
C
w minus 10 is equal to 8 times open paren 50 minus 60 close paren
D
w minus 10 is equal to 71 over 50 times open paren 50 minus 60 close paren
Explanation
The weight changes by 13 − 10 = 3 tons when seating capacity changes by 84 − 60 = 24 seats, so the rate is 3/24 = 1/8 ton per seat. Using the 60-passenger bus as the starting point, the equation for a 50-passenger bus is w − 10 = 1/8(50 − 60). This matches the equation with a rate of one eighth.
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