Common Core HSF.LE.B.5 worksheet
High school · 16 questions · Common Core: HSF.LE.A.2, HSF.LE.B.5, HSF.IF.C.8.B, HSF.LE.A.4 · England: GCSE Higher Algebra
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Question 1
1900 is invested at 3% interest compounded continuously, A = Pe^(rt). Find A after 12 years, to 2 decimal places.
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Question 2
y = 660(0.88)ᵗ. Which describes the change each time period?
- A. decay of 88%
- B. growth of 12%
- C. decay of 12%
- D. growth of 88%
Question 3
A population of 1900 grows by 3% each year. Write the model P(t) = 1900(b)ᵗ and find P(3), to the nearest whole number.
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Question 4
The half-life of caffeine in the body is 9 hours. Starting with 160 mg, how much is left after 36 hours?
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Question 5
An exponential function y = abˣ passes through (1, 10) and (2, 50). What is b?
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Question 6
Grace's laptop battery loses 15% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.
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Question 7
A 24 mg sample decays to 6 mg in 12 days. What is its half-life in days?
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Question 8
Mateo's video channel has 550 subscribers and grows by 12% each month. Which model gives the subscribers after t months?
- A. y = 550(0.12)ᵗ
- B. y = 550(0.88)ᵗ
- C. y = 550 + 12t
- D. y = 550(1.12)ᵗ
Question 9
How long does it take money to double at 5% compounded continuously? Give the answer in years to 1 decimal place.
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Question 10
700 is invested at 6% interest compounded continuously, A = Pe^(rt). Find A after 10 years, to 2 decimal places.
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Question 11
y = 180(0.75)ᵗ. Which describes the change each time period?
- A. growth of 25%
- B. decay of 25%
- C. growth of 75%
- D. decay of 75%
Question 12
A population of 300 shrinks by 5% each year. Write the model P(t) = 300(b)ᵗ and find P(3), to the nearest whole number.
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Question 13
The half-life of a medicine in the blood is 9 hours. Starting with 2 mg, how much is left after 9 hours?
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Question 14
An exponential function y = abˣ passes through (1, 24) and (2, 96). What is b?
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Question 15
Kwame's laptop battery loses 2% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.
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Question 16
A 112 mg sample decays to 7 mg in 32 days. What is its half-life in days?
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