Topic 2 Study Part 1

Front

What is the constant of proportionality in a relationship?

Back

The constant of proportionality (k) is the ratio of the dependent variable (y) to the independent variable (x) in a proportional relationship, expressed as k = y/x.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

How do you find the constant of proportionality (k)?

Back

To find k, use the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a dog eats 22.5 ounces of food in 2 days, how do you find the amount eaten in 9 days?

Back

First, find the daily consumption: 22.5 ounces / 2 days = 11.25 ounces/day. Then multiply by 9 days: 11.25 ounces/day * 9 days = 101.25 ounces.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

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.

Front

What is the equation for a proportional relationship where y is 5 times x?

Back

The equation is y = 5x.

Front

How can you determine if a relationship is proportional using 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 significance of the slope in a proportional relationship?

Back

In a proportional relationship, the slope of the line represents the constant of proportionality (k).

Front

If y = 16x, what is the value of k?

Back

The value of k is 16.