Question
Question 1 A)Create a sequence to show exponential growth where the population of 120 is doubling every day.(1 point) Responses 120, 240, 480 . . . 120, 240, 480 . . . 120, 360, 1,080 . . . 120, 360, 1,080 . . . 120, 60, 30 . . . 120, 60, 30 . . . 120, 240, 480, 360, 480 . . . 120, 240, 480, 360, 480 . . . Question 2 A)Select the response that creates an accurate formula for the sequence 2, 3.5, 6.125. 10.71875 . . ..(1 point) Responses y=2+1.75x y equals 2 plus 1.75 x y=2(1.75)x−1 y equals 2 left parenthesis 1.75 right parenthesis superscript x baseline y=21.5x y equals Start Fraction 2 over 1.5 x End Fraction y=2(1.5)x y equals 2 left parenthesis 1.5 right parenthesis superscript x baseline
Answers
GPT-4o mini
### Question 1
A) Create a sequence to show exponential growth where the population of 120 is doubling every day.
The correct sequence for the population starting with 120 and doubling every day is:
**120, 240, 480, 960, 1920, ...**
Thus, the response is:
**120, 240, 480 . . .**
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### Question 2
A) Select the response that creates an accurate formula for the sequence 2, 3.5, 6.125, 10.71875 . . ..
To analyze the sequence:
1. 2 is the first term.
2. 3.5 is 2 * 1.75.
3. 6.125 is 3.5 * 1.75.
4. 10.71875 is 6.125 * 1.75.
This suggests the sequence is growing by a multiplicative factor of 1.75 starting from 2.
The formula that accurately represents this sequence is:
**y = 2(1.75)^(x-1)**
Thus, the correct response is:
**y = 2(1.75)^(x-1)**.
A) Create a sequence to show exponential growth where the population of 120 is doubling every day.
The correct sequence for the population starting with 120 and doubling every day is:
**120, 240, 480, 960, 1920, ...**
Thus, the response is:
**120, 240, 480 . . .**
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### Question 2
A) Select the response that creates an accurate formula for the sequence 2, 3.5, 6.125, 10.71875 . . ..
To analyze the sequence:
1. 2 is the first term.
2. 3.5 is 2 * 1.75.
3. 6.125 is 3.5 * 1.75.
4. 10.71875 is 6.125 * 1.75.
This suggests the sequence is growing by a multiplicative factor of 1.75 starting from 2.
The formula that accurately represents this sequence is:
**y = 2(1.75)^(x-1)**
Thus, the correct response is:
**y = 2(1.75)^(x-1)**.