Ayoung 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.

Step-by-step explanation:

we know that

A linear equation in slope intercept form is equal to

where

m is the slope

b is the y-coordinate of the y-intercept (value of y when the value of x is equal to zero)

In this problem

Let

W--------> the sumo wrestler's weight in kg (dependent variable)

t-------> the time in months (independent variable)

The linear equation is equal to

where

m is the constant rate or slope

Remember that

For ,  

substitute in the linear equation to find the value of m

therefore

Step-by-step explanation:

For two parallel lines. their slope are equal

Find the slope of each of the lines

For line A;

m = 0 -y/0+1

mA = -y/1

For line B;

mB = 9 - 3/8 - 6

mB = 6/2

mB = 3

since their slope are equal hence mA = mB

-y/1 = 3

-y = 3

y = -3

Hence the value of y is -3