You need to rent a car and compare the charges of three different companies. • Company A charges 64 dollars per day with no mileage charge. Company B charges 15 cents per mile plus 38 dollars per day. • Company C charges 5 cents per mile plus 48 dollars per day. (a) Find formulas for the cost, in dollars, of driving cars rented from companies A, B, and C, in terms of x, the distance driven in miles in one day. YA = 64 YB = .15x+38 Yc = .05x+48 (b) Graph all three functions on the same set of axes for 0 (c) Complete the boxes to report under what circumstances each company is the cheapest, assuming the maximum number of miles driven is 500. Company A is cheapest if you drive between Number and Number miles. Company B is cheapest if you drive between Number and Number miles. Company C is cheapest if you drive between Number and Number miles.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.