A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 909090 kilograms and gained weight at a constant rate. After 888 months, he weighed 138138138 kilograms. Let W(t)W(t)W, left parenthesis, t, right parenthesis denote the sumo wrestler's weight WWW (measured in kilograms) as a function of time ttt (measured in months). Write the function's formula.

Answer:[tex]W(t)=6t+90[/tex]Step-by-step explanation:we know thatA linear equation in slope intercept form is equal to[tex]y=mx+b[/tex]wherem is the slopeb is the y-coordinate of the y-intercept (value of y when the value of x is equal to zero)In this problem LetW--------> the sumo wrestler's weight in kg (dependent variable)t-------> the time in months (independent variable)The linear equation is equal to[tex]W(t)=mt+90[/tex]wherem is the constant rate or slopeRemember thatFor [tex]W=138\ kg[/tex],  [tex]t=8\ months[/tex]substitute in the linear equation to find the value of m[tex]138=m(8)+90[/tex][tex]m(8)=138-90[/tex][tex]m(8)=48[/tex][tex]m=6\frac{kg}{month}[/tex]therefore[tex]W(t)=6t+90[/tex]