The predicted thickness of the ice covering a certain pond in January is given by the formula T = (x − 1)r − 2p, where T is the thickness in centimeters. If the quantity p increases by 1, what will be the change in the predicted thickness of the ice?

Respuesta :

Answer: The change in the predicted thickness of the ice is -2 or the thickness of ice decreases by 2.


Step-by-step explanation:

Given: The predicted thickness of the ice covering a certain pond in January is given by the formula,

[tex]T=(x-1)r-2p[/tex] where T is the thickness in centimeters.

If the quantity p increases by 1, then the predicted thickness of the ice covering a certain pond is given by the formula

[tex]T'=(x-1)r-2(p+1)[/tex]

The change in the predicted thickness of the ice is give by:-

[tex]T'-T=(x-1)r-2(p+1)-((x-1)r-2p)\\=(x-1)r-2p-2-(x-1)r+2p\\=-2[/tex]

Hence, the change in the predicted thickness of the ice is -2 or the thickness of ice decreases by 2.


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