Question
Applications of Multiplying Rational Numbers Practice Complete this assessment to review what you've learned. It will not count toward your grade Al Point Pleasant Park, the Advanced That is 3.6 times as long as the Medium Trall, and the Medium Trail is 1.2 times as long as the Beginner's Trail. How many times as long as the Beginner's Tral is the Advanced Trail? Write your answer as a decimal (f point)
Answers
GPT-4o mini
To solve the problem, we need to establish the relationships between the lengths of the trails.
1. Let the length of the Beginner's Trail be \( B \).
2. The Medium Trail is 1.2 times as long as the Beginner's Trail, so:
\[
M = 1.2B
\]
3. The Advanced Trail is 3.6 times as long as the Medium Trail, so:
\[
A = 3.6M
\]
Now, substituting \( M \) from the previous equation:
\[
A = 3.6(1.2B)
\]
Now, we will multiply \( 3.6 \) and \( 1.2 \):
\[
A = 3.6 \times 1.2 \times B
\]
Calculating \( 3.6 \times 1.2 \):
\[
3.6 \times 1.2 = 4.32
\]
Thus, we have:
\[
A = 4.32B
\]
This tells us that the Advanced Trail is 4.32 times as long as the Beginner's Trail.
So, the final answer is:
\[
\boxed{4.3}
\] (rounded to one decimal place)
1. Let the length of the Beginner's Trail be \( B \).
2. The Medium Trail is 1.2 times as long as the Beginner's Trail, so:
\[
M = 1.2B
\]
3. The Advanced Trail is 3.6 times as long as the Medium Trail, so:
\[
A = 3.6M
\]
Now, substituting \( M \) from the previous equation:
\[
A = 3.6(1.2B)
\]
Now, we will multiply \( 3.6 \) and \( 1.2 \):
\[
A = 3.6 \times 1.2 \times B
\]
Calculating \( 3.6 \times 1.2 \):
\[
3.6 \times 1.2 = 4.32
\]
Thus, we have:
\[
A = 4.32B
\]
This tells us that the Advanced Trail is 4.32 times as long as the Beginner's Trail.
So, the final answer is:
\[
\boxed{4.3}
\] (rounded to one decimal place)
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