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Reika [66]
4 years ago
13

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.
SAT
1 answer:
kvv77 [185]4 years ago
3 0

Answer:

90(Initial Weight) + <em>W*t = 138 Kg </em>

So the Weight increased per month is 6Kg

Explanation:

The Wrestler started at 90Kg weight

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

The weight gained by the wrestler in '<em>t'</em> 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 <em>W</em>(Gained per month) and<em> t</em>( t number months)

The equation becomes:

90Kg (Initial Weight) + <em>W.t = 138 Kg </em>

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

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