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)=12s+15(B) f(s)=15s+12(C) f(s)=12s+12(D) f(s)=15s+15
Q. 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)=12s+15(B) f(s)=15s+12(C) f(s)=12s+12(D) f(s)=15s+15
Problem Understanding: Understand the problem.We need to find a function that represents the total meters of cable needed for an elevator in a building with s stories. The problem states that the cable needed is 12 times the number of stories plus an extra 15 meters for the machinery.
Mathematical Expression: Translate the problem into a mathematical expression.The total meters of cable is the product of 12 and the number of stories (s), plus an additional 15 meters. This can be written as:Total meters of cable =12×s+15
Matching the Expression: Match the expression to the correct function.We compare the expression from Step 2 with the given options:(A) f(s)=12s+15(B) f(s)=15s+12(C) f(s)=12s+12(D) f(s)=15s+15The correct function that matches our expression is option (A).