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?
9(u – 2) + 1.5u = 8.25
9u - 18 + 1.5u = 8.25
10.5u = 8.25 + 18
10.5u = 26.25
u = 26.25 / 10.5
u = 2.5
Answer:
2.5
Step-by-step explanation:
Given: The equation \(9(u - 2) + 1.5u = 8.25\)models the total miles Michael traveled one afternoon while sledding.
To Find: Which is the value of u?
Solution:
\(9(u - 2) + 1.5u = 8.25\)
\(9u - 18+ 1.5u = 8.25\)
\(10.5u = 8.25+18\)
\(10.5u =26.25\)
\(u =\frac{26.25}{10.5}\)
\(u =2.5\)
Hence the value of u is 2.5