samjohnson3637
21.11.2019 •
Mathematics
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?
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Ответ:
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 = x
2. 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 + 0.60x
0.70x - 0.60x = 65 (Subtracting - 0.60x at both sides)
0.10x = 65
x = 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 + 390
455 = 455
The value of x is correct
Ответ: