Question
Highway 199 is 85.3 miles long. That is 7.2 miles longer than Route 32? Write and solve an equation to find the answer, using r as a variable to stand for the length of Route 32.
A. 92.5 miles
B. 78.5 miles
C. 13.3 miles
D. 78.1 miles
A. 92.5 miles
B. 78.5 miles
C. 13.3 miles
D. 78.1 miles
Answers
GPT-4o mini
To solve the problem, we can set up the equation based on the information given.
Let \( r \) represent the length of Route 32. According to the problem, Highway 199 is 7.2 miles longer than Route 32. Thus, we can express this relationship as follows:
\[
r + 7.2 = 85.3
\]
Now, we will solve for \( r \):
1. Subtract 7.2 from both sides of the equation:
\[
r = 85.3 - 7.2
\]
2. Perform the subtraction:
\[
r = 78.1
\]
So, the length of Route 32 is 78.1 miles.
The correct answer is:
**D. 78.1 miles**
Let \( r \) represent the length of Route 32. According to the problem, Highway 199 is 7.2 miles longer than Route 32. Thus, we can express this relationship as follows:
\[
r + 7.2 = 85.3
\]
Now, we will solve for \( r \):
1. Subtract 7.2 from both sides of the equation:
\[
r = 85.3 - 7.2
\]
2. Perform the subtraction:
\[
r = 78.1
\]
So, the length of Route 32 is 78.1 miles.
The correct answer is:
**D. 78.1 miles**