Exponential models
11th grade (Year 12 in England) · 16 questions · Common Core: HSF.LE.A.2, HSF.LE.B.5, HSF.IF.C.8.B
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Score/ 16
Question 1
An exponential function y = abˣ passes through (1, 35) and (2, 175). What is b?
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Question 2
A population of 1800 grows by 8% each year. Write the model P(t) = 1800(b)ᵗ and find P(7), to the nearest whole number.
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Question 3
An exponential function y = abˣ passes through (1, 21) and (2, 63). What is b?
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Question 4
A population of 100 grows by 6% each year. Write the model P(t) = 100(b)ᵗ and find P(2), to the nearest whole number.
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Question 5
An exponential function y = abˣ passes through (1, 16) and (2, 32). What is b?
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Question 6
A population of 2000 shrinks by 4% each year. Write the model P(t) = 2000(b)ᵗ and find P(4), to the nearest whole number.
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Question 7
An exponential function y = abˣ passes through (1, 6) and (2, 12). What is b?
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Question 8
A population of 500 shrinks by 2% each year. Write the model P(t) = 500(b)ᵗ and find P(6), to the nearest whole number.
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Question 9
An exponential function y = abˣ passes through (1, 40) and (2, 200). What is b?
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Question 10
A population of 1400 grows by 6% each year. Write the model P(t) = 1400(b)ᵗ and find P(6), to the nearest whole number.
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Question 11
An exponential function y = abˣ passes through (1, 40) and (2, 200). What is b?
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Question 12
A population of 2000 shrinks by 6% each year. Write the model P(t) = 2000(b)ᵗ and find P(6), to the nearest whole number.
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Question 13
An exponential function y = abˣ passes through (1, 21) and (2, 63). What is b?
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Question 14
A population of 500 shrinks by 8% each year. Write the model P(t) = 500(b)ᵗ and find P(3), to the nearest whole number.
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Question 15
An exponential function y = abˣ passes through (1, 36) and (2, 144). What is b?
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Question 16
A population of 1900 shrinks by 8% each year. Write the model P(t) = 1900(b)ᵗ and find P(8), to the nearest whole number.
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