Question

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. When he started his diet, he weighed 79.5 point, 5 kilograms. He gained weight at a rate of 5.5, point, 5 kilograms per month. Let y represent the sumo wrestler's weight (in kilograms) after x months. Which of the following could be the graph of the relationship? Choose 1 answer: Choose 1 answer:

Answer 1

The graph in the attached figure

Explanation:

Let

x ----> represent the number of months

y ----> represent the sumo wrestler's weight

we know that

The linear equation in slope intercept form is equal to

`y=mx+b`

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value

In this problem we have

The slope is equal to
`m=5.5\ kg\ per\ month`

The y-intercept is equal to
`b=79.5\ kg`

substitute

`y=5.5x+79.5`

using a graphing tool

The graph in the attached figure