ayoung 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. hhhhhe started at 90 kilograms
letttttet y represent the sum wrestlers weight after x months
complete the equation for the relastionship between the weight and number of months
y=
Since the sumo wrestler is gaining weight at a constant rate, we can use a linear equation to represent the relationship between the weight (y) and the number of months (x).
First, we need to find the rate at which the wrestler is gaining weight. In 8 months, the wrestler gained (138 - 90) = 48 kilograms.
To find the rate, we divide the weight gained by the number of months: rate = 48 kilograms / 8 months = 6 kilograms/month.
Now let's use this rate to complete the equation:
y = 6x + b
Since the wrestler started at 90 kilograms, we can substitute this value into the equation to find the y-intercept (b).
90 = 6(0) + b
90 = b
So the equation representing the relationship between the weight (y) and the number of months (x) is:
y = 6x + 90