Unit 3 test 2 Review 24-25

Front

What is the formula to find the constant of proportionality?

Back

The constant of proportionality can be found using the formula: k = y/x, where k is the constant, y is the dependent variable, and x is the independent variable.

Front

If a pool leaks 7/8 of a gallon in 1/2 hour, how do you calculate the leak rate per hour?

Back

To find the leak rate per hour, multiply the amount leaked by 2 (since 1 hour is 2 half-hours): (7/8) * 2 = 7/4 gallons per hour.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you determine the scale factor between two similar triangles?

Back

The scale factor is determined by dividing the length of a side of the larger triangle by the length of the corresponding side of the smaller triangle.

Front

What is the constant of proportionality if Ross walked 7 miles in 2 hours?

Back

The constant of proportionality is 3.5 miles per hour, calculated as 7 miles divided by 2 hours.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the slope of a line in a graph?

Back

The slope of a line is found by taking the change in the y-values divided by the change in the x-values (rise/run).

Front

What is the relationship between the constant of proportionality and the slope of a line?

Back

The constant of proportionality is equivalent to the slope of the line when the relationship between the variables is linear.

Front

If the scale factor from a larger triangle to a smaller triangle is 1/2, what does this imply about their side lengths?

Back

It implies that each side of the smaller triangle is half the length of the corresponding side of the larger triangle.

Front

What is the significance of the constant of proportionality in real-world scenarios?

Back

The constant of proportionality helps to understand rates and ratios in real-world situations, such as speed, density, and pricing.