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A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. After 11 months, he weighed 140 kilograms. He gained weight at a rate of 5.5 kilograms per month.
Let
y represent the sumo wrestler's weight (in kilograms) after
x months.
Complete the equation for the relationship between the weight and number of months.

y=

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. After $11$ months, he weighed $140$ kilograms. He gained weight at a rate of $5$ . $5$ kilograms per month. $\newline$ Let $y$ represent the sumo wrestler's weight (in kilograms) after $x$ months. $\newline$ Complete the equation for the relationship between the weight and number of months. $\newline$ $y=\square$

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Write exponential functions: word problems

Full solution

Q. A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. After

11

months, he weighed

140

kilograms. He gained weight at a rate of

5

.

5

kilograms per month.

\newline

Let

y

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

x

months.

\newline

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

\newline

y=\square

Identify initial weight: Identify the initial weight of the sumo wrestler. $\newline$ Since the sumo wrestler gained weight over $11$ months to reach $140$ kilograms, we need to find his initial weight before the weight gain started.
Calculate total weight gained: Calculate the total weight gained over $11$ months. $\newline$ The sumo wrestler gained weight at a rate of $5.5$ kilograms per month. To find the total weight gained, multiply the rate of weight gain by the number of months. $\newline$ Total weight gained = $5.5 \, \text{kg/month} \times 11 \, \text{months} = 60.5 \, \text{kg}$

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