A truck gets 600/x miles per gallon when driven at a constant speed of x mph, where 40 < x <  80. If the price of fuel is $2.80/ gal and the driver is paid $12/hr, at what speed is it most economical for the trucker to drive?

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A: Please refer the attached image for complete solution. THANK YOU.

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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.