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The question asks for the minimum number of $15 accessories and $25 electronics needed to achieve a $400 sales goal.

Let:
- $ x $ represent the number of $15 accessories.
- $ y $ represent the number of $25 electronics.

The total sales from the accessories and electronics should be at least $400.

The total sales equation is:
\[
15x + 25y \geq 400
\]

Thus, the correct answer is **b**: $ 15x + 25y \geq 400 $.

Would you like further details or clarification on this problem?

Here are 5 related questions to think about:
1. How would the equation change if the sales goal was $500 instead of $400?
2. What happens if the prices of the accessories or electronics increase?
3. How many accessories and electronics are needed if only one of them is sold (either $ x = 0 $ or $ y = 0 $)?
4. Can you express $ y $ in terms of $ x $ in this equation?
5. How would you graph the inequality $ 15x + 25y \geq 400 $?

**Tip:** Always identify what each variable represents in a word problem before setting up the equation.

What is the minimum number of $15 accessories and $25 electronics needed to achieve a $400 sales goal?

Understand how to determine the minimum number of $15 accessories and $25 electronics needed to meet a $400 sales goal. This problem explores algebraic concepts, including setting up and solving linear inequalities. Ideal for students in Grades 8-10.

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