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An elevator company installs elevators in new buildings. The number of meters of cable needed for an elevator is 12 times the number of stories in the building plus an extra 15 meters needed to go into the machinery. Which of the following functions best describes how many meters of cable are needed to install the elevator if there are 
s stories in the building?
Choose 1 answer:
(A) 
f(s)=12 s+15
(B) 
f(s)=15 s+12
(C) 
f(s)=12 s+12
(D) 
f(s)=15 s+15

An elevator company installs elevators in new buildings. The number of meters of cable needed for an elevator is 1212 times the number of stories in the building plus an extra 1515 meters needed to go into the machinery. Which of the following functions best describes how many meters of cable are needed to install the elevator if there are s s stories in the building?\newlineChoose 11 answer:\newline(A) f(s)=12s+15 f(s)=12 s+15 \newline(B) f(s)=15s+12 f(s)=15 s+12 \newline(C) f(s)=12s+12 f(s)=12 s+12 \newline(D) f(s)=15s+15 f(s)=15 s+15

Full solution

Q. An elevator company installs elevators in new buildings. The number of meters of cable needed for an elevator is 1212 times the number of stories in the building plus an extra 1515 meters needed to go into the machinery. Which of the following functions best describes how many meters of cable are needed to install the elevator if there are s s stories in the building?\newlineChoose 11 answer:\newline(A) f(s)=12s+15 f(s)=12 s+15 \newline(B) f(s)=15s+12 f(s)=15 s+12 \newline(C) f(s)=12s+12 f(s)=12 s+12 \newline(D) f(s)=15s+15 f(s)=15 s+15
  1. Problem Understanding: Understand the problem.\newlineWe need to find a function that represents the total meters of cable needed for an elevator in a building with ss stories. The problem states that the cable needed is 1212 times the number of stories plus an extra 1515 meters for the machinery.
  2. Mathematical Expression: Translate the problem into a mathematical expression.\newlineThe total meters of cable is the product of 1212 and the number of stories (ss), plus an additional 1515 meters. This can be written as:\newlineTotal meters of cable =12×s+15= 12 \times s + 15
  3. Matching the Expression: Match the expression to the correct function.\newlineWe compare the expression from Step 22 with the given options:\newline(A) f(s)=12s+15f(s) = 12s + 15\newline(B) f(s)=15s+12f(s) = 15s + 12\newline(C) f(s)=12s+12f(s) = 12s + 12\newline(D) f(s)=15s+15f(s) = 15s + 15\newlineThe correct function that matches our expression is option (A).

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