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The given problem involves finding the total cost of 5 jackets and 8 hats based on the expression:

\[
100j + 40h
\]

where $ j $ represents the number of jackets and $ h $ represents the number of hats.

### Given:
- Cost of each jacket = $100
- Cost of each hat = $40
- Number of jackets $ j = 5 $
- Number of hats $ h = 8 $

We substitute $ j = 5 $ and $ h = 8 $ into the equation:

\[
100(5) + 40(8)
\]

Let's compute this.

\[
100(5) = 500
\]
\[
40(8) = 320
\]
\[
500 + 320 = 820
\]

Thus, the total cost for 5 jackets and 8 hats is **$820**.

The correct answer is **D: $820**.

---

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. How would the cost change if the price of jackets increased to $120 each?
2. What if you wanted to buy 10 hats instead of 8?
3. Can you create a formula for calculating the total cost for any number of jackets and hats?
4. What is the percentage of the total cost contributed by the hats alone?
5. How would the answer change if there was a discount of 10% on jackets?

**Tip:** When solving problems with expressions, always carefully substitute the values before performing operations to avoid mistakes.

A school band is buying new jackets and hats. A jacket costs $100 and a hat costs $40. The expression 100j + 40h represents the cost of j jackets and h hats. How much will 5 new jackets and 8 new hats cost?

This problem involves calculating the total cost for 5 jackets and 8 hats using the expression 100j + 40h, where each jacket costs $100 and each hat costs $40. Learn how to solve this step-by-step for students in Grades 6-8.

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