Final answer:
The student's goal is to make at least $50 per week. The inequality representing this goal is: 8w + 10t >= 50
Step-by-step explanation:
The student's goal is to make at least $50 per week. Let w represent the number of hours spent painting walls and t represent the number of hours spent painting trim. The student charges $8 per hour to paint walls and $10 per hour for painting trim. The equation to represent the weekly earnings can be written as follows:
Earnings from painting walls = $8w
Earnings from painting trim = $10t
The student's goal is to make at least $50 per week, so the inequality representing this goal is:
8w + 10t >= 50