Question

Read the following description of a relationship:
A bread factory makes 59 loaves of bread each hour. Once a day, the manager picks out 12 loaves for quality testing, and the rest go into bags.
Let h represent the number of hours the factory is open in a day and b represent the total number of loaves bagged.
Find the value of b when h=9.

Answer 1

To find the total number of loaves bagged (b) when the factory is open for 9 hours (h = 9), we can follow these steps:

1. Determine the total number of loaves produced in 9 hours.
2. Subtract the number of loaves picked for quality testing from the total number of loaves produced.

**Step 1: Calculate the total number of loaves produced:**
The factory produces 59 loaves of bread each hour. If h = 9 hours, then the total number of loaves produced is:

\[
\text{Total loaves produced} = 59 \text{ loaves/hour} \times 9 \text{ hours} = 531 \text{ loaves}
\]

**Step 2: Subtract the number of loaves for quality testing:**
The manager picks out 12 loaves for quality testing. Therefore, the number of loaves bagged (b) is:

\[
b = \text{Total loaves produced} - \text{Loaves for quality testing}
\]
\[
b = 531 \text{ loaves} - 12 \text{ loaves} = 519 \text{ loaves}
\]

Thus, when \( h = 9 \), the value of \( b \) is:

\[
\boxed{519}
\]