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A young sumo wrestler decided to go on special high-protein diet to gain weight rapidly he started at 90 kg and gained weight at a constant rate after eight months he weighed 138 kg
Let W represent the sumo wrestlers weight (in kilograms) after T months
Complete the equation for the relationship between the weight and number of months

Respuesta :

Answer:

[tex]W(t) = 90 + 6t[/tex]

Step-by-step explanation:

The weight W, related to the number of months t, is given by the following equation:

[tex]W(t) = W(0) + at[/tex]

In which W(0) is the initial weight and a is the slope.

Started at 90 kg

This means that [tex]W(0) = 90[/tex]. So

[tex]W(t) = 90 + at[/tex]

Gained weight at a constant rate after eight months he weighed 138 kg

This means that [tex]W(8) = 138[/tex]. So

[tex]138 = 90 + 8a[/tex]

[tex]8a = 48[/tex]

[tex]a = \frac{48}{8}[/tex]

[tex]a = 6[/tex]

So

[tex]W(t) = 90 + 6t[/tex]

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