Question

I need help with setting up the equation, because I really don't understand how to set up word problems involving linear system equations, really could use the help, thanks​

Answer 1

1. (by hand) 0.3 + 0.2x = T

2. (machine) 0.4 + + 0.05x = T

Explanation:

we are trying to solve for the amount of time (T) to milk Cows. so T will be our answer.

next we know that it takes 0.3 hours to setup for hand milking and 0.2 hour to milk each cow.

in order to find our total time (T) we add the time it takes to setup and the time it takes to milk all the cows.

however because we don't know how many cows there are, we use a variable (x) multiplied by the time it takes (0.2) to milk each to represent cow milking time.

so ultimately we get 0.3 + 0.2x = T

basically most linear equations boil down to an initial value, in this case 0.3 or 0.4, and a rate of change, + .2 hours per cow or + .005 hours per cow.

the rate of change is the one with the variable attached.