Question

Read the following description of a relationship:
Neil helps to organize road races. He sets out 66 cups of water at each rest stop and 59 more cups of water at the finish line.
Let r represent the number of rest stops and b represent the total number of cups of water.
Find the value of b when r=8.
b=

Answer 1

To find the total number of cups of water \( b \) when there are 8 rest stops (\( r = 8 \)), we need to calculate the total cups of water from the rest stops and the finish line.

1. Calculate the total cups of water at the rest stops:
\[
\text{Cups at rest stops} = 66 \times r = 66 \times 8 = 528
\]

2. Add the cups of water at the finish line:
\[
\text{Cups at finish line} = 59
\]

3. Calculate the total cups of water \( b \):
\[
b = \text{Cups at rest stops} + \text{Cups at finish line} = 528 + 59 = 587
\]

Thus, the value of \( b \) when \( r = 8 \) is:
\[
\boxed{587}
\]