Problem 2 of 35alg-002
Lakeside Bikes rents a bike for a $12 fee plus $3 per hour. Hilltop Bikes charges a $4 fee plus $5 per hour. For how many hours of rental do the two shops charge the same total?
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Solution walkthrough1:40
- Write each cost for hours: fee plus rate times hours. Lakeside: . Hilltop: .
- The costs are the same where the two lines cross. Set the expressions equal: .
- Subtract , then subtract : . Hilltop starts $8 behind and gains $2 each hour.
- Divide by : . Check: and . Both cost $24.
- Traps: is the gap in fees, not yet divided. doubles it. is the cost in dollars, not the hours.