Question

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He gained weight at a rate of 5.55.55, point, 5 kilograms per month. After 111111 months, he weighed 140140140 kilograms. Let WWW represent the sumo wrestler's weight (in kilograms) after ttt months. Complete the equation for the relationship between the weight and number of months.

Answer 1

y=5.5x+79.5

Explanation:

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Answer 2

The equation for the relationship between the weight and number of months is
`W(t)= 5.5t+79.5`

Explanation:

we know that

A linear equation in slope intercept form is equal to

`y=mx+b`

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`

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*11 +b\\140 = 60.5+b\\b = 140-60.5\\b = 79.5\ kg`

`W(t)= 5.5t+79.5`

Hence,The equation for the relationship between the weight and number of months is
`W(t)= 5.5t+79.5`