Algebra Unit 4 EOC Review

1) A certain population of bacteria has an average growth rate of 2%. The formula for the growth of the bacteria’s population is A=Po∙1.02^t, where Po is the original population and t is the time in hours.If you begin with 200 bacteria, about how many bacteria will there be after 100 hours?

• A. 7
• B. 272
• C. 1,449
• D. 20,000

2) Which function represents this sequence?

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3) The points (0, 1), (1, 5), (2, 25), and (3, 125) are on the graph of a function. Which equation represents that function?

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• D. f(x) = 5^X

4) The function f(x) is graphed below. Which graph shows f(x) + 2?

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5) Which function shows the function f(x) = 3^x being translated 5 units down?

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6) Consider this pattern.Which recursive formula represents the sequence that represents the pattern?

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7) Which function is modeled in this table?

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8) Which explicit formula describes the pattern in this table?

• A. C = 6d
• B. C = d + 6
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9)If f(12) = 100(0.50)12, which expression gives f(x)?

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10) A population of squirrels doubles every year. Initially, there were 5 squirrels. A biologist studying the squirrels created a function to model their population growth: P(t) = 5(2t), where t is the time in years. The graph of the function is shown. Which values best describe the range of the population?

• A. any real number
• B. any whole number greater than 0
• C. any whole number greater than 5
• D. any whole number greater than or equal to 5