Intercepts of Linear Functions (with context)

Front

What is the x-intercept of a function?

Back

The x-intercept is the point where the graph of a function crosses the x-axis, which occurs when y = 0.

Front

What does the y-intercept represent in a linear function?

Back

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

Front

True or False: The x-intercept of a function ALWAYS occurs where y is equal to zero.

Back

True

Front

In the context of a burning candle, what does the y-intercept indicate?

Back

The y-intercept indicates the original height of the candle before it started burning.

Front

What does the point (0, 350) signify in a financial context?

Back

It signifies that Jazz started with $350 in the account.

Front

Write an equation representing the total cost of T-shirts and hoodies if T-shirts are $15 each and hoodies are $20 each, and the total spent is $150.

Back

15x + 20y = 150, where x is the number of T-shirts and y is the number of hoodies.

Front

If Gracie brought 24 cookies for 3 classes, how many cookies should she bring for 4 classes?

Back

32 cookies.

Front

What is the formula for finding the slope of a linear function?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1) between two points (x1, y1) and (x2, y2).

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.