Students voted for their favorite school lunches. the bar graph shows the results. how many more students voted for pizza than tacos?

When graphing the two equations, the point of intersection is the solution. *by the way the top question is an example of the graph* to graph each equation, apply the slope intercept form, y = mx + b *find solution for all* equations: 1) y = 5x - 2 y = x + 6 2) y = 2x - 4 y = x +2 3) y = x + 2 y = -x +2 now for questions 4-6, check the solution too 4) y = 3x + 2 y = 3x - 4 m= m= b= b= 5) y = 2x + 1 2y = 4x + 2 m= m= b= b= 6) y = x - 3 y = -x +3 m= m= b= b= *dont have to check solution for 7-9* 7) y = 5x + 1 y = x - 3 8) y = x - 5 y = 3x + 1 9) y = 3x - 1 y = 3x - 4

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

25 ! the line of best fit is h = 5a + 86. predict the height at age 16. show your work.