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

Answer:

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

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

Step-by-step 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

$\frac{48}{8}$

$6$ 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