Question

xavier can work no more than 40 hours in a week. he has already worked 24 hours this week. what is the maximum number of 8-hour days xavier can work for the rest of the week?

5
4
3
2

Explanation:

Define the variable and constraints

Using the Writing Linear Inequalities and Real-world Inequality Constraints knowledge points
Let \(d\) represent the number of 8-hour days Xavier can work for the rest of the week.

• Hours already worked: \(24\)
• Additional hours to work: \(8d\)
• Maximum total hours allowed: \(40\)

Set up the inequality

Using the Writing Linear Inequalities knowledge point

$$ 24 + 8d \le 40 $$

Solve for the maximum days

Using the Solving Linear Inequalities knowledge point

$$
LATEXBLOCK0
$$

The maximum number of 8-hour days Xavier can work is \(2\).

Answer:

• 5
• 4
• 3
• 2 (Correct answer)