Respuesta :
Answer:
The equation for the relationship between the weight and number of months is [tex]W(t)= 5.5t+79.5[/tex]
Step-by-step explanation:
we know that
A linear equation in slope intercept form is equal to
[tex]y=mx+b[/tex]
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)
or say b is the actual weight of the wrestler.
In this problem
m=5.5 kg/month
Let
W ⇒ 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)=5.5t+b[/tex]
where
b is the actual weight when he started the diet.
Now Given
W = 140 kg
t = 11 months
substitute in the linear equation to find the value of b
[tex]140 = 5.5\times11 +b\\140 = 60.5+b\\b = 140-60.5\\b = 79.5\ kg[/tex]
[tex]W(t)= 5.5t+79.5[/tex]
Hence,The equation for the relationship between the weight and number of months is [tex]W(t)= 5.5t+79.5[/tex]
