NC Math 1 EOC Review

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What is exponential growth?

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Exponential growth occurs when the increase in a quantity is proportional to its current value, leading to growth at an increasing rate. An example is a bacterial colony that doubles in size at regular intervals.

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What is the formula for exponential growth?

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The formula for exponential growth can be expressed as y = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.

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How do you calculate the population size after a certain time with exponential growth?

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To calculate the population size after a certain time, use the formula y = a(2^(t/T)), where 'a' is the initial population, 't' is the total time, and 'T' is the doubling time.

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What is a linear function?

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A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where 'm' is the slope and 'b' is the y-intercept.

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How do you find a point on the graph of a linear function?

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To find a point on the graph of a linear function, substitute a value for 'x' into the function and solve for 'f(x)'.

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What is a sequence in mathematics?

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A sequence is an ordered list of numbers that follow a specific pattern or rule. For example, the sequence -12, -11.75, -11.5, -11.25… is an arithmetic sequence.

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What is the formula for an arithmetic sequence?

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The formula for an arithmetic sequence can be expressed as f(n) = a + (n-1)d, where 'a' is the first term, 'd' is the common difference, and 'n' is the term number.

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. Solutions to the system are the values that satisfy all equations simultaneously.

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How do you set up a system of equations from a word problem?

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To set up a system of equations from a word problem, identify the variables, translate the relationships described in the problem into equations, and ensure they reflect the conditions given.

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What is the mean in statistics?

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The mean is the average of a set of numbers, calculated by adding all the values together and dividing by the number of values.