Problema Solution
a Company finds it can produce 20 heaters for $5400, while producing 30 heaters cost $8000. Express the cost,y,as a lineat function of the number of heaters,x. Express the cost,y, as a linear function of the number of heaters,x.
Answer provided by our tutors
if y is a linear function of the number of heaters, x we can write:
y = ax + b, where a and b are constants that we need to find
for x = 20, y = $5400
5400 = 20a + b
for x = 30, y = $8000
8000 = 30a + b
by solving the system of equations
20a + b = 5400
30a + b = 8000
we find
a = 260
b = 200
click here to see the step by step solution of the system of equations
the linear function is:
y = 260x + 200.