3.2 Quick Check- Math 8

Front

What is the total cost function for trophies ordered if there is a one-time fee of $15 and each trophy costs $4?

Back

c = 4t + 15

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if a graph represents a proportional relationship?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant ratio between y and x.

Front

What does it mean for a graph to be non-proportional?

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio between y and x.

Front

What is the rule for dilating a point (x, y) by a factor of 2?

Back

The rule is (x, y) → (2x, 2y).

Front

What is the equation of a line with a slope of 1/3 and a y-intercept of -3?

Back

y = (1/3)x - 3.

Front

How do you find the total cost of ordering t trophies?

Back

Use the function c = 4t + 15, where c is the total cost.

Front

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

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is given by m = (y2 - y1) / (x2 - x1).