A family on a University campus has a 150-gallon tank that is filled at the beginning of each week. The weekly demand of the family shows a relative frequency behaviour that increases steadily up to 100 gallons and then levels off between 100 and 150 gallons. If X denotes weekly demand in hundreds of gallons, the relative frequency of demand can be modelled by ?, 0≤?≤1 ?? = 1, 1<1.5 0, ?????h??? i) Find?? ii) Find? 0≤?<0.5 iii)Find? 0.5<?≤1.2 iv) Find ?(? ≥ 1|? ≤ 1.4
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.
A family on a University campus has a 150-gallon tank that is filled at the beginning of
each week. The weekly demand of the family shows a relative frequency behaviour that
increases steadily up to 100 gallons and then levels off between 100 and 150 gallons. If X
denotes weekly demand in hundreds of gallons, the relative frequency of demand can be
modelled by
?, 0≤?≤1 ?? = 1, 1<?<1.5 0, ?????h???
i) Find??
ii) Find? 0≤?<0.5
iii)Find? 0.5<?≤1.2
iv) Find ?(? ≥ 1|? ≤ 1.4
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