Question

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at

90

9090 kilograms and gained weight at a constant rate. After

8

88 months, he weighed

138

138138 kilograms.

Let

W

WW represent the sumo wrestler's weight (in kilograms) after

t

tt months.

Complete the equation for the relationship between the weight and number of months.

W

=

W=W, equals

Answer 1

W = 6t + 90

Explanation:

Given :

Starting weight = intercept = 90 kg

Weight gained after 8 months = 138 kg

Using the slope intercept relation ;

We can obtain the rate of change, slope ;

y = mt + c

m = slope ; t = time after t months ; c = intercept

y = weight gained after 8 months

138 = 8m + 90

138 - 90 = 8m

48 = 8m

m = 48 / 8

m = 6

Hence, slope intercept equation equals :

W = 6t + 90