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 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 1

y = 6x + 90 kilograms

Explanation:

Data provided in the question:

Weight after 8 months = 138 kilograms

Initial weight = 90 kilograms

Now,

y is the weight after x months

the general equation for line is given as:

y = mx + c

here, m is the slope or the rate of change

c is the constant

also,

at x = 0 , y = 90 kilograms

thus, the equation becomes

90 = m(0) + c

or

c = 90 kilograms

and,

at x = 8 , y = 138

thus, the equation becomes,

138 = m(8) + (90)

or

8m = 48

or

m = 6

Therefore,

the final equation comes as:

y = 6x + 90 kilograms