SOLUTION: The length, in feet, of a small train can be modeled by the function f(c) = 9c+14, where c is the number of passenger cars attached to the locomotive. The original passenger cars w

Question 976069: The length, in feet, of a small train can be modeled by the function f(c) = 9c+14, where c is the number of passenger cars attached to the locomotive. The original passenger cars were replaced, and the length of the train is now modeled by the function h(c) = 12c+14.Based on this information, which statement describes the change in this situation?
A. The locomotive is now 9 feet long, and the length of each passenger car remained the same.
B. The locomotive is now 12 feet long, and the length of each passenger car remained the same.
C. Each passenger car is now 9 feet long, and the length of the locomotive remained the same.
D. Each passenger car is now 12 feet long, and the length of the locomotive remained the same.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
c has increased, and c is the variable. The constant is the only thing that doesn't change, didn't change, and has to be the locomotive.
If c increased, the length of the passenger cars increased, or D.
If the locomotive were 12 feet, the function would be 9c +12
If the locomotive were 9 feet, the function would be 10c
If the passenger cars were 9 feet and the locomotive stayed the same, it would be the original function.
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