Exponential growth and decay
9th grade (Year 10 in England) · 16 questions · Common Core: HSF.LE.A.1, HSF.LE.A.2, HSF.IF.C.8.B · England: GCSE Higher Algebra
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Date
Score/ 16
Question 1
y = 30 × 1.1ˣ. Find y when x = 2. Round to 2 decimal places if needed.
Answer
Question 2
Sofia's bacteria culture starts with 100 cells and doubles every 3 hours. How many cells after 12 hours?
Answer
Question 3
Does y = 35(0.8)ˣ show exponential growth or decay?
- A. Growth
- B. Decay
Question 4
y = 32 × 2ˣ. Find y when x = 4. Round to 2 decimal places if needed.
Answer
Question 5
Zara's bacteria culture starts with 500 cells and doubles every 2 hours. How many cells after 8 hours?
Answer
Question 6
Does y = 62(2)ˣ show exponential growth or decay?
- A. Growth
- B. Decay
Question 7
y = 43 × 1.5ˣ. Find y when x = 4. Round to 2 decimal places if needed.
Answer
Question 8
Ethan's bacteria culture starts with 160 cells and doubles every 3 hours. How many cells after 6 hours?
Answer
Question 9
Does y = 68(1.2)ˣ show exponential growth or decay?
- A. Growth
- B. Decay
Question 10
y = 23 × 0.5ˣ. Find y when x = 3. Round to 2 decimal places if needed.
Answer
Question 11
Ben's bacteria culture starts with 330 cells and doubles every 5 hours. How many cells after 5 hours?
Answer
Question 12
Does y = 34(0.5)ˣ show exponential growth or decay?
- A. Growth
- B. Decay
Question 13
y = 49 × 1.1ˣ. Find y when x = 4. Round to 2 decimal places if needed.
Answer
Question 14
Hiro's bacteria culture starts with 170 cells and doubles every 4 hours. How many cells after 16 hours?
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Question 15
Does y = 4(0.25)ˣ show exponential growth or decay?
- A. Growth
- B. Decay
Question 16
y = 9 × 1.5ˣ. Find y when x = 3. Round to 2 decimal places if needed.
Answer
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