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A young sumo wrestler decided to go on a special diet to gain weight rapidly.

W represents the wrestler's weight (in kilograms) as a function of time
t (in months).

W=80+5.4 t
How much weight does the wrestler gain every 2 months?
kilograms

A young sumo wrestler decided to go on a special diet to gain weight rapidly. $\newline$ $W$ represents the wrestler's weight (in kilograms) as a function of time $t$ (in months). $\newline$ $W=80+5.4 t$ $\newline$ How much weight does the wrestler gain every $2$ months? $\newline$ kilograms

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Write exponential functions: word problems

Full solution

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

\newline

W

represents the wrestler's weight (in kilograms) as a function of time

t

(in months).

\newline

W=80+5.4 t

\newline

How much weight does the wrestler gain every

2

months?

\newline

kilograms

Identify weight gain per month: Identify the weight gain per month. $\newline$ The equation $W = 80 + 5.4t$ represents the wrestler's weight over time, where $W$ is the weight in kilograms and $t$ is the time in months. The coefficient of $t$ ( $5.4$ ) represents the weight gain per month.
Calculate weight gain over $2$ months: Calculate the weight gain over $2$ months. $\newline$ To find out how much weight the wrestler gains every $2$ months, we multiply the monthly weight gain by $2$ . $\newline$ Weight gain every $2$ months = $5.4 \, \text{kg/month} \times 2 \, \text{months}$
Perform multiplication for total weight gain over $2$ months: Perform the multiplication to find the total weight gain over $2$ months. $\newline$ Weight gain every $2$ months = $5.4 \times 2 = 10.8$ kilograms

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