Ayoung sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. he gained weight at a rate of 5.5 kilograms per month. after 11 months, he weighed 140 kilograms.let w(t) denote the sumo wrestler's weight w(measured in kilograms) as a function of time t (measured in months). write the function's formula. w(t)=

If

then m, the slope, is 5.5. We need to find b. When x = 11, y = 140, so:

We plug in the values for x, y, and m. Then, we simplify and subtract 60.5 from both sides.
This makes the equation

Or, in the context of this equation,

(32o)        (53o)       |  x-   (50m) -y     (zm) |  the first thing to recognize is that this creates two right triangles.   when we have right triangles, we can use the trigonometric functions to figure out the missing sides.  first, we are trying to find the height, and we only know the length of the other base.   this tells us that we will likely be using the tan function.