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The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the number of hours walking up a hill and (u – 2) equals the number of hours sledding down the hill. Which is the value of u?

A. u = 0.25
B. u = 0.75
C.u = 1.1
D. u = 2.5

Respuesta :

frika

The equation [tex]9(u-2) + 1.5u = 8.25[/tex] models the total miles Michael traveled one afternoon while sledding. u equals to number of hours walking up a hill and (u – 2) equals to number of hours sledding down the hill.

Solve this equation:

[tex]9(u-2) + 1.5u = 8.25,\\ \\9u-18+1.5u=8.25,\\ \\9u+1.5u=8.25+18,\\ \\10.5u=26.25,\\ \\u=2.5\ hours[/tex]

Answer: correct choice is D

D is the correct answer