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a rental car agency charges $180 per week plus 25 cents per mile to rent a car how many miles can you travel in one week for $400 so first off were trying to solve for the number of miles so Im going to let X or variable X be the number of miles and to form an equation that we can solve were going to look at whats an expression we can make to model the cost of renting a car for one week cuz thats thats our situation here so in other words $180 per week but its only for one week so thats $180 fixed you cant go higher or lower than that because its only one week but as for the miles its 0.25 25 cents per mile so thats 0.25 times the number of miles X you can think about it if there was say four miles driven then it would be 0.25 * 4 which is $1 and so it be your total cost would be for one week10 +1 $181 but were trying to find what is the value of x such that this left side our cost would be equal to $400 and thats the maximum amount of miles we can drive with $400 in one