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?
Answer
A
u = 0.25
B
u = 0.75
C
u = 1.1
D
u = 2.5
Explanation
Combine the terms with u: 9(u − 2) + 1.5u = 10.5u − 18. Add 18 to both sides to get 10.5u = 26.25, then divide by 10.5: u = 2.5. The correct choice is u = 2.5.
AI-written and checked against the verified answer.