Questions: A student earns 10 per hour for tutoring and 6 per hour as a teacher's aide. Let x= the number of hours each week spent tutoring and y= the number of hours each week spent as a teacher's aide. Complete parts (a) through (e). 1. To have enough time for studies, the student can work no more than 21 hours per week.

Solution Steps

1. Define the variables \( x \) and \( y \) for the number of hours spent tutoring and working as a teacher's aide, respectively.
2. Set up the inequality \( x + y \leq 21 \) to represent the constraint on the total number of hours worked per week.
3. Use Python to check if a given pair of \( x \) and \( y \) values satisfy this inequality.

Let \( x \) be the number of hours spent tutoring and \( y \) be the number of hours spent as a teacher's aide.

The total number of hours worked per week must satisfy the constraint: \[ x + y \leq 21 \]

Given \( x = 10 \) and \( y = 8 \), we can substitute these values into the inequality: \[ 10 + 8 = 18 \]

Now, we check if the total hours worked (18) is less than or equal to 21: \[ 18 \leq 21 \] This inequality holds true.

Final Answer