6. Sales at Terri's Tackle went up 1.4% in June, down 4.87% in July, up 3% in August, and down 1.33% in September.
Did Terri's sales rise or fall over those four months? by how much?

To find out if Terri's sales rose or fell over the four months and by how much, we'll apply the percentage changes sequentially to the sales.

Let’s assume the initial sales figure is \( S \), and we calculate the changes month by month as follows:

1. **June**: Sales increased by 1.4%, so the new sales amount after June is:
   \[
   S \times (1 + \frac{1.4}{100}) = S \times 1.014
   \]

2. **July**: Sales decreased by 4.87%, so after July the sales amount is:
   \[
   S \times 1.014 \times (1 - \frac{4.87}{100}) = S \times 1.014 \times 0.9513
   \]

3. **August**: Sales increased by 3%, so after August the sales amount is:
   \[
   S \times 1.014 \times 0.9513 \times (1 + \frac{3}{100}) = S \times 1.014 \times 0.9513 \times 1.03
   \]

4. **September**: Sales decreased by 1.33%, so after September the sales amount is:
   \[
   S \times 1.014 \times 0.9513 \times 1.03 \times (1 - \frac{1.33}{100}) = S \times 1.014 \times 0.9513 \times 1.03 \times 0.9867
   \]

Let me now calculate this to find the overall percentage change.Terri's sales over the four months fell by approximately 1.97%. Therefore, her sales decreased overall during this period.

Would you like further details or have any questions?

Here are five related questions to deepen your understanding:
1. How do percentage increases and decreases affect compounded values?
2. If the sales in September had gone up instead of down, how would the overall change have been different?
3. How can a series of increases and decreases result in an overall decrease?
4. What is the mathematical formula for applying successive percentage changes?
5. How can such calculations help in predicting business trends?

**Tip:** When working with percentage changes over multiple periods, always calculate them sequentially to capture compounding effects.

Sales at Terri's Tackle went up 1.4% in June, down 4.87% in July, up 3% in August, and down 1.33% in September. Did Terri's sales rise or fall over those four months? By how much?

Explore how Terri's Tackle's sales changed with percentage increases and decreases in June, July, August, and September. Learn to calculate sequential percentage changes to determine an overall 1.97% fall in sales. This problem applies real-world math concepts suitable for Grades 9-12.

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