SBABC practice

Front

What is the slope of a line in a graph?

Back

The slope of a line represents the rate of change of the dependent variable with respect to the independent variable. It is calculated as the rise over run between two points on the line.

Front

How can you find the walking speed of a person from a graph?

Back

You can find the walking speed by determining the slope of the line on the graph, which indicates the speed at which the person is walking.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It represents the value of the dependent variable when the independent variable is zero.

Front

What is the formula to calculate the cost of producing items?

Back

The cost can often be calculated using a linear equation of the form y = mx + b, where m is the variable cost per item, x is the number of items, and b is the fixed cost.

Front

If the cost to produce x game consoles is given by the equation y = 20x + 500, what does 20 represent?

Back

In this equation, 20 represents the variable cost in dollars to produce each game console.

Front

What happens to the area of a shape when it is enlarged by a scale factor of k?

Back

The area of the shape is multiplied by k^2. For example, if k = 1.5, the area is multiplied by 1.5^2 = 2.25.

Front

What is a scale factor in geometry?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to enlarge or reduce shapes.

Front

Back

Front

What is the total mass of a substance in a mixture?

Back

The total mass of a substance in a mixture is the sum of the masses of that substance present in each component of the mixture.

Front

What is the significance of the slope in a real-world context?

Back

The slope can represent various rates of change, such as speed, cost per item, or growth rate, depending on the context of the graph.