Acell phone company offers two talk and text plans. the company charges a monthly service fee of $20 for
either plan the customer chooses: customers that choose talk and text plan a are charged five cents a minute
and twenty dollars for 250 texts. customers that choose talk and text plan b are charged ten cents a minute
(first 100 minutes free) and fifteen dollars for 200 texts. the equation: c = .10(m - 100) + 15 + 20 can be used
to represent how much a customer would spend monthly for the minutes used. how many minutes must a
customer use for the cost of the plans to be the same?

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?

What is the equation in slope-intercept form of the linear function represented by the table? y -18 -1 -8 4 2 912 o y=-2x-6 o y=-2x+6 o y=2x-6 o y = 2x+6

Atemperature of 1.64◦f corresponds to answer in units of ◦c.