Asked by Kirtley Pemberton on May 21, 2024
Verified
A warehouse for storing chairs and tables has 950 square feet of floor space. Each chair requires 11 square feet of floor space and each table requires 18 square feet of floor space. Write a linear inequality for this space constraint where x is the number of chairs and y is the number of tables.
A) 11x+18y≤92111 x + 18 y \leq 92111x+18y≤921
B) 18x+11y≤95018 x + 11 y \leq 95018x+11y≤950
C) 11x+7y≤92111 x + 7 y \leq 92111x+7y≤921
D) 11x+18y≤95011 x + 18 y \leq 95011x+18y≤950
E) 11x+18y≥95011 x + 18 y \geq 95011x+18y≥950
Linear Inequality
An algebraic inequality in which each term is either a constant or the product of a constant and a single variable.
Space Constraint
A limitation or restriction on the available space for a particular purpose or operation.
Floor Space
The total area taken up by all of the rooms or sections on one level of a building.
- Apply linear inequalities to model and solve real-world problems.
Verified Answer
SB
Spriha BurmanMay 25, 2024
Final Answer :
D
Explanation :
The correct inequality is 11x+18y≤95011x + 18y \leq 95011x+18y≤950 , representing the total space used by chairs and tables not exceeding the warehouse's capacity.
Learning Objectives
- Apply linear inequalities to model and solve real-world problems.