Question

A young sumo wrestler decided to go on special high-protein diet to gain weight rapidly he started at 90 kg and gained weight at a constant rate after eight months he weighed 138 kg

Let W represent the sumo wrestlers weight (in kilograms) after T months
Complete the equation for the relationship between the weight and number of months

Answer 1

`W(t) = 90 + 6t`

Explanation:

The weight W, related to the number of months t, is given by the following equation:

`W(t) = W(0) + at`

In which W(0) is the initial weight and a is the slope.

Started at 90 kg

This means that
`W(0) = 90`. So

`W(t) = 90 + at`

Gained weight at a constant rate after eight months he weighed 138 kg

This means that
`W(8) = 138`. So

`138 = 90 + 8a`

`8a = 48`

`a = (48)/(8)`

`a = 6`

So

`W(t) = 90 + 6t`