THIS IS THE COMPLETE QUESTION BELOW;
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:
W=6t+90
Explanation:
We know that a linear equation in slope takes the form
y= mx+ c
where
m is the slope
c is the y-coordinate of the y-intercept
Let us denote W as the sumo weight in kg then
t as the time in months
Then forming a linear equation from this knowing t is a dependent variable then
W(t)= mt+90
But here we know that is our slope, W was given as 138kg and t is 8 months.
We we substitute this values in the equation we have
138= 8m+90
8m= 138-90
8m=48
m=6kg/month
Therefore, the function formula is W(t)= 6t+90