A battery for an electric vehicle will provide a range of 5 miles for each battery, but for each battery the range of all the batteries is decreased by 0.3 miles because of the added weight. a) If it wasn’t for this decrease due to weight, the relationship between range and number of batteries would be linear. Write the formula for this linear relationship. b) now modify the linear case to the non-linear case and write the formula for range in terms of the number of batteries that includes the decrease due to weight. c) Find the maximum range for this vehicle design and the number of batteries that gives the maximum range.

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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.