S=120(5−h)Simone arrived at her cabin after a big snow storm and realized that she would need to shovel some snow before she could go inside. The amount of snow, S, in cubic feet, that is left to shovel after shoveling for h hours is given by the equation. What does the 5 mean in the equation?Choose 1 answer:(A) It will take Simone 5 hours to shovel all of the snow.(B) After 5 hours, there will be 120 cubic feet of snow left to shovel.(C) There was 5 cubic feet of snow to shovel when Simone arrived at the cabin.(D) There were 5 cubic feet of snow left to shovel after shoveling for 120 hours.
Q. S=120(5−h)Simone arrived at her cabin after a big snow storm and realized that she would need to shovel some snow before she could go inside. The amount of snow, S, in cubic feet, that is left to shovel after shoveling for h hours is given by the equation. What does the 5 mean in the equation?Choose 1 answer:(A) It will take Simone 5 hours to shovel all of the snow.(B) After 5 hours, there will be 120 cubic feet of snow left to shovel.(C) There was 5 cubic feet of snow to shovel when Simone arrived at the cabin.(D) There were 5 cubic feet of snow left to shovel after shoveling for 120 hours.
Equation Analysis: Let's look at the equation S=120(5−h). If h is the number of hours Simone shovels, then 5−h is the number of hours left until she reaches some specific point.
Initial Calculation: If we plug h=0 into the equation, we get S=120(5−0), which means S=120×5. This tells us the total amount of snow before Simone starts shoveling.
Total Snow Amount: So, the 5 represents the total hours it would take to shovel all the snow if Simone shovels at a constant rate.
Option Verification: Now, let's look at the options given. Option (A) says it will take Simone 5 hours to shovel all of the snow, which matches our understanding of the equation.
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