Question

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 90 kilograms and gained weight at a constant rate. After 8 months, he weighed 138 kilograms.

Let W represent the sumo wrestler's weight (in kilograms) after t months.
Complete the equation for the relationship between the weight and number of months.

Answer 1

90(Initial Weight) + W*t = 138 Kg

So the Weight increased per month is 6Kg

Step-by-step explanation:

The Wrestler started at 90Kg weight

After 8 months, Wrestler had a weight of 138Kg.

The weight gained by the wrestler in 't' months is:

138(Kg) - 90 (Kg) = 48 (Kg)

From above equation we can see that a difference of 48Kg was attained by Wrestler.

Since the question stated that, the weight increased at a constant rate, so we can calculate the weight gained each month over a period of 8 months.

Weight gained per month: 48 (Kg) / 8 (Months) = 6 (Kg) / (Month)

So now we can write the equation in terms of W(Gained per month) and t( t number months)

The equation becomes:

90Kg (Initial Weight) + W.t = 138 Kg

( where 'W' is Weight increased per month and 't' is number of months passed)