Question
Jazmine earns $20 per hour for landscaping and $15 per hour for painting. She can work no more than 12 hours per week. If jazmine wants to earn at least $225 in a weel, she could landscape for 6 hours and paint for 6 hours to meet her goal? justify your response.
Answers
Answered by
GPT-5 mini
No. Calculate her pay: 6 hours landscaping at $20/hr gives 6·20 = $120; 6 hours painting at $15/hr gives 6·15 = $90. Total = $120 + $90 = $210, which is less than $225.
You can also check feasibility: she must satisfy 20L + 15P ≥ 225 with L + P ≤ 12. If P = 6 then L ≥ (225 − 15·6)/20 = 135/20 = 6.75, so she would need at least 6.75 landscaping hours (total 12.75 hours), which exceeds the 12-hour limit.
Example of a feasible plan: 9 hours landscaping and 3 hours painting gives 9·20 + 3·15 = 180 + 45 = $225 (12 hours).
You can also check feasibility: she must satisfy 20L + 15P ≥ 225 with L + P ≤ 12. If P = 6 then L ≥ (225 − 15·6)/20 = 135/20 = 6.75, so she would need at least 6.75 landscaping hours (total 12.75 hours), which exceeds the 12-hour limit.
Example of a feasible plan: 9 hours landscaping and 3 hours painting gives 9·20 + 3·15 = 180 + 45 = $225 (12 hours).