STAAR Review - 7

Front

What is a linear relationship in mathematics?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph, where one variable is a constant multiple of the other plus a constant.

Front

How do you identify the y-intercept of a linear equation?

Back

The y-intercept of a linear equation is the point where the line crosses the y-axis, which can be found by setting the value of x to zero in the equation.

Front

What does it mean for a mapping to not have a unique y value for each x value?

Back

It means that at least one input (x value) corresponds to multiple outputs (y values), indicating a non-function relationship.

Front

How can you represent a situation with a table?

Back

A table can represent a situation by showing the relationship between two variables, with one variable listed in rows and the other in columns, allowing for easy comparison of values.

Front

What is the formula for calculating total cost in a project?

Back

Total cost can be calculated using the formula: Total Cost = Fixed Costs + (Variable Cost per Unit * Number of Units).

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change between the two variables; it shows how much y changes for a unit change in x.

Front

How do you determine the cost per item from a total cost?

Back

To determine the cost per item, divide the total cost by the number of items purchased.

Front

What is a function in mathematical terms?

Back

A function is a relation that assigns exactly one output (y value) for each input (x value).

Front

How can you represent a proportional relationship?

Back

A proportional relationship can be represented by a straight line through the origin on a graph, where the ratio of y to x is constant.

Front

What is the relationship between the number of hours worked and total cost in a service project?

Back

The relationship is typically linear, where total cost increases as the number of hours worked increases, based on a fixed hourly rate.