Radha is trying to choose between two bike rental companies, Company A and Company B. Company A charges a $25 initial fee and an additional $5 for each hour rented. Company B charges an initial $18 fee and an additional $6 for each hour rented. The total cost to rent a bike from Company A can be represented by the equation y=5x+25. The total cost to rent a bike from Company B can be represented by the equation y=6x+18. For how many hours of rental is the amount charged by the two companies the same? What is the cost, in dollars, of renting the bike for this many hours? Hours=? Cost=?
A way to find the answer is to make these equations balanced and equal the same top find x. 5x+25 = 6x+18 Subtract 5x and 18 from each side to get: 7 = x So, when you say that x is 7: 5x is 35 and 35 + 25 = 60, so Company "A" costs $60 for 7 hours. 6x is 42 and 42 + 18 = 60, so Company "B" also costs $60 for 7 hours. Hours = 7 Cost = $60