A tank contains 120 gallons of oil initially. Oil is being pumped out of the tank at a rate R(t), R(t) is measured in gallons per hour, and t is measured in hours. The table below shows selected values for R(t). Using a trapezoidal approximation with three sub-intervals and the data from the table, find an estimate of the number of gallons of oil that are in tank at time t=14 hours. t(hours) 2 5 10 14 R(t) gallons per hours 8.2 7.8 8.6 9.3 O 220.8 O 18.75 O 19.2 O 100.8

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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.