Combo 1 Readiness Standards up to Compound Interest

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean for y to be a function of x?

Back

It means that for every value of x, there is exactly one corresponding value of y.

Front

How can you determine if a set of ordered pairs represents y as a function of x?

Back

Check if any x value is repeated with a different y value; if so, it does not represent y as a function of x.

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x.

Front

What is the formula for calculating compound interest?

Back

A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the number of years.

Front

What does it mean for a graph to represent y as a function of x?

Back

It means that each x value on the graph corresponds to exactly one y value.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How do you find the total amount of water in an aquarium after a certain number of weeks if it decreases at a constant rate?

Back

Use the function t = -15w + 275, where t is the total gallons after w weeks.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, defined by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the relationship between the slope of a line and the rate of change?

Back

The slope of a line represents the rate of change of y with respect to x.