Question

A young wrestler decided to go on a special high protein diet tk gain weight rapidly and at a constant rate. After 8 months, he weighed 138 kilograms. He started at 90 kilograms. Let y represent the sumo wrestler's ( in kilograms) after x months

Answer 1

A young wrestler decided to go on a special high protein diet to gain weight rapidly and at a constant rate.

After 8 months, he weighed 138 kilograms.

In 8 monthe = 138 Kg

He start with 90 kg weight,

i.e. In 0 months, weight = 90 Kg

The general expression for the linear equation is :

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Substitute the value of the coordinates and simplify :

$\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ y-90=\frac{138-90}{8-0}(x-0) \\ y-90=\frac{48}{8}x \\ y-90=6x \\ y=6x\text{ + 90} \end{gathered}$

Equation of the relationship between weight of the wrestler with the number of months. y = 6x + 90

Answer : y = 6x + 90