Sam takes part in a car race that has 20 laps. he completes 4 laps every 3 minutes. the number of laps sam has left to drive after x minutes is represented by the function f(x) = 20 − (4/3)(x). identify the graph that describes this function and its intercepts. what does each intercept represent?

If we rewrite this equation, it would look like this: , which is the equation for a straight line with a slope of -4/3 and a y-intercept of 20.  The y-intercept exists when x = 0.  "x" represents the number of minutes he drives, "y" represents the number of laps he drives.  Slope is rise/run, or y/x, which gives us that he drives 4 laps in 3 minutes (the slope of our line).  The y-intercept, when x = 0, tells us that when he has driven 0 minutes, or hasn't driven at all yet, he still has 20 laps to go.  When y = 0, the x-intercept is  , and .  Multiply both sides by 3 to get that -60 = -4x and that means that x is 15.  This means that from start to finish, it takes him 15 minutes to drive the 20 laps. 

As you know john locke said he wanted life liberty and the pursuit of happiness so thomas jefferson was inspired about what john locke said so thomas jefferson wrote the declaration of independence for people to be free for people to be happy