Unit 3 test 2 Review 24-25

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant. It can be expressed as an equation in the form y = mx, where m is the constant of proportionality.

Front

What does the scale factor indicate in a scale drawing?

Back

The scale factor indicates how much larger or smaller a figure is compared to the actual size. If the scale factor is greater than 1, the figure is larger.

Front

If a scale is 1 cm:4 ft, what does this mean?

Back

This means that 1 centimeter on the drawing represents 4 feet in actual size.

Front

How do you calculate the actual length from a scale drawing?

Back

To find the actual length, multiply the length in the scale drawing by the scale factor.

Front

What is the constant of proportionality in the equation y = 14x?

Back

The constant of proportionality is 14, which indicates that for every unit increase in x, y increases by 14.

Front

How do you find the rate of change in a leaking pool problem?

Back

To find the rate of change, divide the total amount leaked by the time taken. For example, if 7/8 gallon leaks in 1/2 hour, the rate is (7/8) / (1/2) = 7/4 gallons per hour.

Front

What is the formula for finding the slope of a line?

Back

The slope (m) of a line can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does it mean if a graph is linear?

Back

A graph is linear if it forms a straight line, indicating a constant rate of change between the variables.

Front

What is the relationship between the scale factor and the size of a figure?

Back

If the scale factor is less than 1, the figure is smaller than the actual size. If it is greater than 1, the figure is larger.

Front

How do you express a proportional relationship as an equation?

Back

A proportional relationship can be expressed as y = mx, where m is the constant of proportionality.