Set 3: Exponential Functions
Explanation
A wildfire burns 2 acres on hour 1, 8 acres on hour 2, 32 acres on hour 3. How many acres total burned after 5 hours?
682 acres
512 acres
242 acres
1,024 acres
Detailed Explanation
Choice A is correct. Choice A is the correct answer. Find the pattern and sum. 1. Pattern: means multiply by 4 each hour: . 2. Calculate Each Hour: - Hour 1: 2 - Hour 2: 8 - Hour 3: 32 - Hour 4: 128 - Hour 5: 512 3. Total: acres. Strategic Tip: Sum a geometric series: or calculate each term. Choice B is incorrect because this is just hour 5, not the total. Choice C is incorrect because this is the sum of only hours 1-4. Choice D is incorrect because this would be hour 6.
Key Steps:
The correct answer is 682 acres
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