Use the following problem situation to answer the group of questions.
Choose a variable inequality that describes the problem situation. Define a variable to represent the unknown quantity. Solve the inequality. State your final solution in a complete sentence with correct units.
An energy company needs to replace all of a building’s windows in less than 84 hours. The company has already been working on the job for 30 hours. If each window requires 0.5 hours to replace, how many windows can the company replace in the time remaining?
5.
Use the problem situation to answer the question.
Define variable:
Let
represent the number of windows they can replace in one hour.
Let
represent the number of hours to replace the windows.
Let
represent the number of workers needed to replace the windows.
Let
represent the number of windows they can replace.
6.
Use the problem situation to answer the question.
Final answer:
The company can replace fewer than or equal to 108 windows.
The company can replace more than 108 windows.
The company can replace fewer than 108 windows.
The company can replace equal to or more than 108 windows.
7.
Use the problem situation to answer the question.
Solve inequality:
The inequality to represent the problem situation is:
0.5x + 30 ≤ 84
where x represents the number of windows the company can replace.
To solve the inequality, we subtract 30 from both sides:
0.5x ≤ 54
Now, we divide both sides by 0.5:
x ≤ 108
Therefore, the company can replace fewer than or equal to 108 windows in the time remaining.