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?

u = 0.25
u = 0.75
u = 1.1
u = 2.5

Answer 1

Solve for u:

9(u − 2) + 1.5u = 8.25
9u − 18 + 1.5u = 8.25
10.5u − 18 = 8.25
10.5u = 26.25
u = 26.25 / 10.5 = 2.5

Answer: u = 2.5.