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A rental car company charges 0.50 per mile and a flat rate of30.00 for any type of sedan. If m represents the number of miles driven and c(m) represents the total cost for renting a sedan, what is the linear equation that represents the cost based on the number of miles? What is the slope and y-intercept?

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Final answer:

The linear equation for the cost of renting a sedan based on the number of miles driven is c(m) = 0.50m + 30.00. The slope is 0.50 and the y-intercept is 30.00.

Step-by-step explanation:

The linear equation that represents the cost based on the number of miles driven is c(m) = 0.50m + 30.00. In this equation, 'm' represents the number of miles driven and 'c(m)' represents the total cost for renting a sedan. The slope of the equation is 0.50, which means that for every mile driven, the cost increases by $0.50. The y-intercept is 30.00, which represents the flat rate charge for renting a sedan.

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