some friends in college took a road trip to florida use the table to determine whether the equation can be use in the form of y= kx

Question

some friends in college took a road trip to florida use the table to determine whether the equation can be use in the form of y= kx

 

Answer 1

If the values in the table have the same slope between consecutive points, then yes.

Answer 2

Equations of the form y=kx (examples: y=2x, y=15.9x, y=-.01x) are called linear equations because if you were to graph them on an xy-coordinate plane, they would be lines. 

 

Lines go upward at a constant rate. They don't suddenly swoop up or curve down or do loopdy-loops, but they either go up or down at a constant rate.

 

That means you should be able to identify a pattern by comparing the x and y columns of the table. Do you see that if you multiply a number that's in the x column by something (in this case, some unknown number, "k"), you get the result in the y column and that happens for every single x-y combo in the table? If the number "k" is the same for every pair in the table, you have a linear relationship, or you have a y=kx.

 

If you figure out the "k" for one x-y pair, but it's different from the "k" for another x-y pair, that means your "rate" is not constant, that is, it varies and cannot be written in the form y=kx.

 

Hope that helps!