Question

Lionel uses two functions to model the costs of having a problem diagnosed and repaired by two appliance repair companies. He models the cost, in dollars, of having Phil’s Appliances handle the repair job, requiring x hours of labor, with function p: p(x) = 68x + 81. He models the cost of having Quality Electric handle the same repair with function q: q(x) = 51x + 90. The function_______ represents the amount, in dollars, Lionel will save by having Quality Electric handle an x-hour repair instead of Phil’s Appliances. Lionel will save_____ $ if he uses Quality Electric for a repair needing 2 hours of labor.

Answer 1

The function (119x + 171) represents the amount, in dollars. Lionel will save 409 $ if he uses Quality Electric for a repair needing 2 hours of labor.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The system of equations are;

p(x) = 68x + 81.

q(x) = 51x + 90.

So,

p(x) + q(x) = 68x + 81 + 51x +  90

p(x) + q(x) = 119x + 171

The function (119x + 171) represents the amount, in dollars, Lionel will save by having Quality Electric handle an x-hour repair instead of Phil’s Appliances.

p(x) + q(x) = 119x + 171

x= 2 hours

p(x) + q(x) = 119 (2) + 171

p(x) + q(x) = 409

Lionel will save 409 $ if he uses Quality Electric for a repair needing 2 hours of labor.

Learn more about equations here;

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