Problema Solution
the company discovered that it costs $25 to produce 2 calculators, $59 to produce 4 calculators, and $305 to produce 10 calculators. compose the function that represents cost.
Answer provided by our tutors
From the title we know we can get three equations.So we'd better set a function which just contains three unknown numbers.So we can think of a polynomial :
y=a*x^2+b*x+c.
So,we can get three equations:
25=a*2^2+b*2+c;
59=a*4^2+b*4+c;
305=a*10^2+b*10+c.
Let solve the three equations and we can get :
a=3;
b=-1;
c=15.
So,the function we need is :
y=3*x^2-x+15.
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