Answer:
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Answer:
The equation for the relationship between the weight and number of months is ![W(t)= 5.5t+79.5](https://tex.z-dn.net/?f=W%28t%29%3D%205.5t%2B79.5)
Step-by-step explanation:
we know that
A linear equation in slope intercept form is equal to
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
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
![W(t)=5.5t+b](https://tex.z-dn.net/?f=W%28t%29%3D5.5t%2Bb)
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
![140 = 5.5\times11 +b\\140 = 60.5+b\\b = 140-60.5\\b = 79.5\ kg](https://tex.z-dn.net/?f=140%20%3D%205.5%5Ctimes11%20%2Bb%5C%5C140%20%3D%2060.5%2Bb%5C%5Cb%20%3D%20140-60.5%5C%5Cb%20%3D%2079.5%5C%20kg)
![W(t)= 5.5t+79.5](https://tex.z-dn.net/?f=W%28t%29%3D%205.5t%2B79.5)
Hence,The equation for the relationship between the weight and number of months is ![W(t)= 5.5t+79.5](https://tex.z-dn.net/?f=W%28t%29%3D%205.5t%2B79.5)
Vo0is the initial velocity
and H0 s the intial distance
Answer:
A, B and F.
Step-by-step explanation:
The bill total + 20% of the bill total must be less than or equal to $60.
So we have the inequality:
x + 0.20x ≤ 60
1.20x ≤ 60
x ≤ 60/1.20
x ≤ 50 dollars.