Mathematics Flashcard

Front

What is the relationship between the amount of money Lisa has in her bank account, y, and the number of weeks that have passed, x, if she starts with $8 and adds $4 every week?

Back

y = 4x + 8

Front

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

Back

Each value of x corresponds to exactly one value of y.

Front

How do you write an equation in slope-intercept form?

Back

The slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

What is the y-intercept of a line?

Back

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

Front

If Tasha's cookie delivery costs $5 and each cookie costs $4, what is the equation that models the total cost t in terms of the number of cookies c?

Back

t = 4c + 5

Front

Given the cost per shirt is $8 and there is a $50 initial fee, what is the slope and y-intercept of the cost function?

Back

Slope: 8, y-intercept: 50

Front

What is the equation of a line if the slope is -5 and the y-intercept is 36?

Back

y = -5x + 36

Front

How do you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once.

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)