Ellen is playing a video game in which she captures butterflies. There are 6 butterflies onscreen, but the number of butterflies doubles every minute. After 4 minutes, she was able to capture 3 of the butterflies.
You do not tell us what the question is but I could not do it anyway because I do not know if the 3 were caught in the first minute or the fourth or whatever.
The length of the smaller rectangle at the right is 1 inch less than twice its width. Both the dimensions of the larger rectangle are 2 inches longer than the smaller rectangle. The area of the shaded region is 86 square inches. What is the area of the larger rectangle?
To understand the situation, let's break it down:
1. Initial number of butterflies: Ellen starts with 6 butterflies onscreen.
2. Doubling every minute: The number of butterflies doubles every minute. This means that after the first minute, she will have 6 x 2 = 12 butterflies. After the second minute, she will have 12 x 2 = 24 butterflies, and so on.
3. After 4 minutes: After 4 minutes, we need to calculate the total number of butterflies. Let's go step by step:
- After the first minute: 6 x 2 = 12 butterflies
- After the second minute: 12 x 2 = 24 butterflies
- After the third minute: 24 x 2 = 48 butterflies
- After the fourth minute: 48 x 2 = 96 butterflies
So, after 4 minutes, Ellen has a total of 96 butterflies onscreen.
Next, we need to determine how many butterflies she was able to capture. The problem states she captured 3 butterflies.
Therefore, Ellen captured 3 out of the 96 butterflies onscreen after 4 minutes.