IM 8 Unit 3 Test

Front

What is pace in running?

Back

Pace is the amount of time it takes to cover a certain distance, usually expressed in minutes per mile or minutes per kilometer.

Front

How do you determine the fastest runner based on pace?

Back

To determine the fastest runner, compare the paces of each runner; the runner with the lowest pace time is the fastest.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio; if one quantity changes, the other changes at a consistent rate.

Front

How can you tell if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin (0,0).

Front

What is the total cost formula for a service with a base fee and a variable cost?

Back

The total cost can be expressed as Total Cost = Base Fee + (Variable Cost per unit * Number of units).

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, it means that the ratio between the two quantities is not constant; they do not change at a consistent rate.

Front

How do you write an equation for a line given its slope and y-intercept?

Back

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