Standard
A.CED.3 Represent constraints by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.
An airplane experiences headwind and tailwind.
air speed - wind speed = ground speed
air speed + wind speed = ground speed
Air speed represents the speed that the plane is going as if there were no forces acting upon it.
Wind speed is self-explanatory. It's the speed of the wind.
Ground speed represents the overall speed, or the observable speed.
With a tailwind, a bird flew at a ground speed of 4 mi/h. Flying the same path against the same wind, the bird travels at a ground speed of 2 mi/h. What is the bird's air speed? What is the wind speed?
This is just really good practice. You can also assign variables to unknowns that you have.
We have a system of equations and we have several ways to find the solution. Which would be the best method to use? Graphing, substitution, or elimination?
Elimination looks like the easiest option to do. Here's the steps:
Remember that once you have x, you can take this value and plug it into any of the equations. Here, we have chosen the second equation. Here's the steps:
We listed in the beginning what x and y are.
You row upstream at a speed of 4 mi/h. You travel the same distance downstream at a speed of 7 mi/h. What would be your rowing speed in still water? What is the speed of the current?
So our rowing speed will be affected by the current. If the current is with us we go faster (downstream), and if it is against us we go slower (upstream).
rowing speed - current speed = upstream speed
rowing speed + current speed = downstream speed