Aldo will rent a car for the weekend. He can choose one of two plans. The first plan has no initial fee and costs $0.70 per mile driven. The second plan has an initial fee of $65 and costs an additional $0.60 per mile driven. How many miles would Aldo need to drive for the two plans to cost the same?

Answer:Aldo needs to drive 650 miles for the two plans to cost the same.Step-by-step explanation:1. Let's review the information given to solve the case:First plan = no initial fee and costs $0.70 per mile driven.Second plan = initial fee of $65 and costs an additional $0.60 per mile driven.Miles driven to have the same cost = x2. How many miles would Aldo need to drive for the two plans to cost the same? Let's use the following equation:0.70x = 65 + 0.60x0.70x - 0.60x = 65 (Subtracting - 0.60x at both sides)0.10x = 65x = 650 (Muliplying by 10 at both sides)Aldo needs to drive 650 miles for the two plans to cost the same.3. Let's prove that x = 650 is correct.0.70 (650) = 65 + 0.6 (650)455 = 65 + 390455 = 455The value of x is correct