A homeowner doing some remodeling requires the services of both a plumbing contractorand an electrical contractor. If there are 12 plumbing contractors and 9 electricalcontractors available in the area, in how many ways can the contrac tors be chosen? Ifwe denote the plumbers by P1, . . . , P12 and the electricians by Q1, …, Q9, then we wishthe number of pairs of the form (Pi, Qj). With n1 5 12 and n2 5 9, the product ruleyields N 5 (12)(9) 5 108 possible ways of choosing the two types of contractors.
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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 homeowner doing some remodeling requires the services of both a plumbing contractor
and an electrical contractor. If there are 12 plumbing contractors and 9 electrical
contractors available in the area, in how many ways can the contrac tors be chosen? If
we denote the plumbers by P1, . . . , P12 and the electricians by Q1, …, Q9, then we wish
the number of pairs of the form (Pi, Qj). With n1 5 12 and n2 5 9, the product rule
yields N 5 (12)(9) 5 108 possible ways of choosing the two types of contractors.
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