Common Core HSF.IF.C.8.B worksheet
High school · 16 questions · Common Core: HSF.LE.A.1, HSF.LE.A.2, HSF.IF.C.8.B, HSF.LE.B.5 · England: GCSE Higher Algebra
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Question 1
An exponential function y = abˣ passes through (1, 24) and (2, 72). What is b?
Answer
Question 2
A population of 300 grows by 2% each year. Write the model P(t) = 300(b)ᵗ and find P(5), to the nearest whole number.
Answer
Question 3
y = 9 × 0.5ˣ. Find y when x = 4. Round to 2 decimal places if needed.
Answer
Question 4
Amara's video channel has 1300 subscribers and grows by 3% each month. Which model gives the subscribers after t months?
- A. y = 1300(0.97)ᵗ
- B. y = 1300(0.03)ᵗ
- C. y = 1300(1.03)ᵗ
- D. y = 1300 + 3t
Question 5
Hiro's laptop battery loses 6% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.
Answer
Question 6
Does y = 2(2)ˣ show exponential growth or decay?
- A. Growth
- B. Decay
Question 7
Chloe's bacteria culture starts with 410 cells and doubles every 6 hours. How many cells after 6 hours?
Answer
Question 8
y = 520(0.92)ᵗ. Which describes the change each time period?
- A. decay of 8%
- B. decay of 92%
- C. growth of 92%
- D. growth of 8%
Question 9
An exponential function y = abˣ passes through (1, 30) and (2, 150). What is b?
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Question 10
A population of 900 grows by 3% each year. Write the model P(t) = 900(b)ᵗ and find P(4), to the nearest whole number.
Answer
Question 11
y = 45 × 1.5ˣ. Find y when x = 3. Round to 2 decimal places if needed.
Answer
Question 12
Leo's video channel has 150 subscribers and grows by 4% each month. Which model gives the subscribers after t months?
- A. y = 150(1.04)ᵗ
- B. y = 150(0.04)ᵗ
- C. y = 150(0.96)ᵗ
- D. y = 150 + 4t
Question 13
Ava's laptop battery loses 6% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.
Answer
Question 14
Does y = 81(0.8)ˣ show exponential growth or decay?
- A. Growth
- B. Decay
Question 15
Ravi's bacteria culture starts with 150 cells and doubles every 6 hours. How many cells after 24 hours?
Answer
Question 16
y = 240(0.85)ᵗ. Which describes the change each time period?
- A. decay of 85%
- B. growth of 15%
- C. growth of 85%
- D. decay of 15%
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