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 79.579.579, point, 5 kilograms. He gained weight at a rate of 5.55.55, point, 5 kilograms per month.
Let yyy represent the sumo wrestler's weight (in kilograms) after xxx months.
Which of the following could be the graph of the relationship?

Answer 1

Answer:

$y=5.5x+79.5$

Step-by-step explanation:

Let y represent the sumo wrestler's weight (in kilograms) after x months.

When he started his diet, he weighed 79.5 kilograms, this means x = 0 months, y = 79.5 kg. So, y-intercept is at point (0, 79.5).

He gained weight at a rate of 5.5 kilograms per month, so the slope of the linear function is 5.5.

Hence the equation of the linear function in the slope-intercept form is

$y=5.5x+79.5$

The graph of this function is attached.