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

Answer:y = 6x + 90 kilogramsStep-by-step explanation:Data provided in the question:Weight after 8 months = 138 kilogramsInitial weight = 90 kilogramsNow,y is the weight after x monthsthe general equation for line is given as:y = mx + chere, m is the slope or the rate of change c is the constantalso,at x = 0 , y = 90 kilogramsthus, the equation becomes90 = m(0) + corc = 90 kilogramsand,at x = 8 , y = 138thus, the equation becomes, 138 = m(8) + (90)or8m = 48orm = 6Therefore,the final equation comes as:y = 6x + 90 kilograms