Question

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

Answer 1

The equation $9(u-2) + 1.5u = 8.25$ 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:

$9(u-2) + 1.5u = 8.25,\\ \\9u-18+1.5u=8.25,\\ \\9u+1.5u=8.25+18,\\ \\10.5u=26.25,\\ \\u=2.5\ hours$

Answer: correct choice is D

Answer 2

D is the correct answer