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, 18) and (2, 54). What is b?
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Question 2
A population of 800 shrinks by 3% each year. Write the model P(t) = 800(b)ᵗ and find P(10), to the nearest whole number.
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Question 3
An exponential function y = abˣ passes through (1, 12) and (2, 36). What is b?
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Question 4
A population of 600 shrinks by 4% each year. Write the model P(t) = 600(b)ᵗ and find P(7), to the nearest whole number.
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Question 5
An exponential function y = abˣ passes through (1, 21) and (2, 63). What is b?
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Question 6
A population of 1600 grows by 8% each year. Write the model P(t) = 1600(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, 18) and (2, 54). What is b?
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Question 8
A population of 900 shrinks by 3% each year. Write the model P(t) = 900(b)ᵗ and find P(7), to the nearest whole number.
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Question 9
An exponential function y = abˣ passes through (1, 25) and (2, 125). What is b?
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Question 10
A population of 1600 shrinks by 8% each year. Write the model P(t) = 1600(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, 6) and (2, 12). What is b?
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Question 12
A population of 300 grows by 3% each year. Write the model P(t) = 300(b)ᵗ and find P(4), to the nearest whole number.
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Question 13
An exponential function y = abˣ passes through (1, 9) and (2, 27). What is b?
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Question 14
A population of 1000 grows by 2% each year. Write the model P(t) = 1000(b)ᵗ and find P(8), to the nearest whole number.
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Question 15
An exponential function y = abˣ passes through (1, 45) and (2, 225). What is b?
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Question 16
A population of 800 shrinks by 2% each year. Write the model P(t) = 800(b)ᵗ and find P(4), to the nearest whole number.
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