Question

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly and at a constant rate. After 8 88 months, he weighed 138 138138 kilograms. He started at 90 9090 kilograms. Let y yy represent the sumo wrestler's weight (in kilograms) after x xx months. Complete the equation for the relationship between the weight and number of months.

Answer 1

Equation for the relationship between the weight and number of months -

`W(t) = W(0) + 6 * t`

Explanation:

Given

The initial weight of young sumo wrestler just before he decide to gain more weight is equal to
`90` kilo grams.

The new weight of young sumo wrestler after eight months is equal to
`138` kilo grams.

Weight gained by sumo wrestler during the period of eight months

`138 -90\\= 48`

The rate at which weight was gained

`(48)/(8)`

`6` kilo grams per month

Let W(t) depict the weight after 8 months

t depict the time period in moths

So the equation would be

`W(t) = W(0) + 6 * t`

Where

`W(0) =` Initial weight before 8 months

`t =` time in months