Question

A 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 1

Answer:

$W(t)=6t+90$

Step-by-step 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)

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

$W(t)=mt+90$

where

m is the constant rate or slope

Remember that

For $W=138\ kg$,  $t=8\ months$

substitute in the linear equation to find the value of m

$138=m(8)+90$

$m(8)=138-90$

$m(8)=48$

$m=6\frac{kg}{month}$

therefore

$W(t)=6t+90$

Answer 2

The formula for the function for a young sumo wrestler who decided to go on a special high-protein diet to gain weight rapidly is W(t)=6t+90.

What is linear function?

A function assigns the value of each element of one set to the other specific element of another set.

Linear function is the function in which the highest power of the unknown variable is one. Linear functions are used to model the real life problem in the mathematical expressions.

The linear function with dependent variable y and independent variable x can be written as,

$y=mx+c$

Here, (m) is the slope of the function and c is the y intercept.

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly.

• He started at 90 kilograms and gained weight at a constant rate.
• After 8 months, he weighed 138 kilograms.

Let W(t) denote the sumo wrestler's weight W (measured in kilograms) as a function of time t (measured in months). He started with 90 kg. Thus, the linear function for it can be written as,

$W(t)=mt+90$

After 8 months, he weighed 138 kilograms. Thus, the function become,

$W(8)=m(8)+90\\138=8m+90\\8m=138-90\\m=\dfrac{48}{8}\\m=6$

Put this value in the function,

$W(t)=6t+90$

Thus, the formula for the function for a young sumo wrestler who decided to go on a special high-protein diet to gain weight rapidly is W(t)=6t+90.

Learn more about the linear function here;

https://brainly.com/question/15602982

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