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The average number of pounds of fruits and vegetables per person that each American eats can be modeled by T(y) = 6.056y + 601.57 pounds per person y years since 1980. (a) Find an inverse for this model. (Round all values to two decimal places.)

Respuesta :

To find the inverse of the model \( y = 6.056y + 601.57 \), first, let's solve for \( y \) in terms of \( Y \):

\[ Y = 6.056y + 601.57 \]

\[ Y - 601.57 = 6.056y \]

\[ \frac{Y - 601.57}{6.056} = y \]

So, the inverse function is:

\[ y = \frac{Y - 601.57}{6.056} \]

Rounded to two decimal places, the inverse function is:

\[ y = \frac{Y - 601.57}{6.06} \]

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