Amanufacturing company builds construction machinery. it sells 10 machines for $18,100 and 20 machines for $26,600. which equation models the revenue, r(x), as a linear function of the number of machines built, x?

The linear equation would be y = 850x + 1100, where x is the number of machines and y is the revenue.

First, you need to find the slope between the two points.

(26600 - 18100) / ( 20 - 10 )
850

Now, that we have the slope, we can write and solve the equation to find the y-intercept.

y = 850x + b
18100 = 850(20) + b
1100 = b

Put the slope and the y-intercept together and you have the equation:
y = 850x + 1100