algebra end of course review

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What is exponential decay?

Back

Exponential decay refers to a decrease in quantity at a rate proportional to its current value, often represented by the function y = a * e^(-kt), where 'a' is the initial amount, 'k' is the decay constant, and 't' is time.

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Front

How do you find the number of baseball caps where costs from two companies are equal?

Back

Set the cost equations equal: 50 + 7x = 30 + 9x, solve for x to find x = 10.

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What does a box and whisker plot represent?

Back

A box and whisker plot visually displays the distribution of a dataset, showing the median, quartiles, and potential outliers.

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What is the median in a dataset?

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The median is the middle value when the data is arranged in ascending order; if there is an even number of observations, it is the average of the two middle values.

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Define a coefficient in algebra.

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A coefficient is a numerical or constant quantity placed before a variable in an algebraic expression, indicating how many times the variable is multiplied.

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What is the difference between linear and exponential functions?

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Linear functions have a constant rate of change and are represented by a straight line, while exponential functions grow or decay at a rate proportional to their current value.

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What is the formula for the slope of a line?

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The slope (m) is calculated as m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

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What does it mean for a function to be increasing?

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A function is increasing if, as the input (x) increases, the output (y) also increases.