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?

Q: Suppose the relationship between Y and X is given by: Y =  -10 - 25X By how much does Y change if X…

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Q: Two Tropical Cyclones, travelling towards each other, left from two places that are 900 miles apart,…

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Q: Mark found that the daily demand for his company's new design of sunglasses was inversely…

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Q: The White River flows at a rate of 4 km/h. In order for a boat to travel 76.8 km upriver and then…

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Q: If darin traveled 30 miles in 2 hours, and ed traveled three times as far in half the time, what was…

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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.