Question

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He gained weight at a rate of 5.5 kilograms per month. After 11 months, he weighed 140 kilograms.Let W(t) denote the sumo wrestler's weight W(measured in kilograms) as a function of time t (measured in months).

Write the function's formula.
W(t)=

Answer 1

y=79.5+5.5x

Explanation:

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Answer 2

If

`y = mx + b`
then m, the slope, is 5.5. We need to find b. When x = 11, y = 140, so:

`(140) = (5.5)(11) + b \\ 140 = 60.5 + b \\ b = 79.5`
We plug in the values for x, y, and m. Then, we simplify and subtract 60.5 from both sides.
This makes the equation

`y = 5.5x + 79.5`
Or, in the context of this equation,

`w(t) = 5.5t + 79.5`