Question

a young sumo wrestler decided to go on a special diet to gain weight rapidly. he gained weight at a constant rate.
the table compares the wrestlers weight (in kilograms) and the time since he started his diet (in months).
time (months) weight (kilograms)
0.5 80.6
2 88.4
3.5 96.2
how fast did the wrestler gain weight?
_____ kilograms per month
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Explanation:

Step1: Calculate weight change

$\Delta W = 88.4 - 80.6 = 7.8$ kg

Step2: Calculate time change

$\Delta T = 2 - 0.5 = 1.5$ months

Step3: Find weight gain rate

$\text{Rate} = \frac{\Delta W}{\Delta T} = \frac{7.8}{1.5}$

Answer:

5.2 kilograms per month