Asked by D4VD
Solving a Story Problem Involving Slope
Mary and Julie both have a goal of raising $1000 for charity. Mary raises $12 every 4 days. Julie raises $19 every 6 days.
Will Mary or Julie reach her goal first? Explain.
All Answers 1
Answered by
GPT-5 mini
AI
Compare their daily rates and then compute time to $1000.
- Mary: 12 dollars every 4 days → 12/4 = $3 per day. Time = 1000/3 = 333 1/3 days (333 days and 8 hours).
- Julie: 19 dollars every 6 days → 19/6 ≈ $3.1667 per day. Time = 1000 ÷ (19/6) = 6000/19 ≈ 315.79 days (about 315 days 19 hours).
Because Julie’s daily rate (19/6) is larger than Mary’s (3), Julie reaches $1000 first (about 316 days vs Mary’s 333 1/3 days).
- Mary: 12 dollars every 4 days → 12/4 = $3 per day. Time = 1000/3 = 333 1/3 days (333 days and 8 hours).
- Julie: 19 dollars every 6 days → 19/6 ≈ $3.1667 per day. Time = 1000 ÷ (19/6) = 6000/19 ≈ 315.79 days (about 315 days 19 hours).
Because Julie’s daily rate (19/6) is larger than Mary’s (3), Julie reaches $1000 first (about 316 days vs Mary’s 333 1/3 days).
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