Exponential Applications notes worksheet featuring growth and decay functions with real-world examples.

Final Answer:
11,104

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Explanation:
Let’s solve Example 1 from the Growth Functions section.

We are told:
- The town’s population now is 8,250. That’s our starting number (a).
- It grows by 3% each year. So r = 0.03.
- We want to know the population in 10 years. So t = 10.

We use the growth formula:
y = a(1 + r)^t

Step 1: Plug in the numbers.
y = 8250 × (1 + 0.03)^10

Step 2: Add inside the parentheses.
1 + 0.03 = 1.03

Step 3: Raise 1.03 to the 10th power.
1.03^10 ≈ 1.3439 (you can use a calculator for this)

Step 4: Multiply that by 8,250.
8250 × 1.3439 ≈ 11,104

So, in 10 years, the population will be about 11,104.

That’s it! You just used the growth formula to find the future amount.