D84 Activity: Proportional Relationships - Equations

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 quantity is constant.

Front

What does the equation y = mx represent?

Back

In the equation y = mx, 'm' represents the slope of the line, which indicates the rate of change between y and x.

Front

How do you find the unit rate from a proportional relationship?

Back

The unit rate is found by dividing the value of one quantity by the value of the other quantity when the second quantity is equal to 1.

Front

What is the slope in the equation d = 0.45p?

Back

The slope in the equation d = 0.45p is 0.45, which indicates that for every unit increase in p, d increases by 0.45.

Front

If d = 6b, how many loaves of bread will Sam eat after 12 days?

Back

Sam will eat 2 loaves of bread after 12 days.

Front

What is the equation for a proportional relationship if the unit rate is 2 cm per hour?

Back

The equation is y = 2x, where y is the total amount and x is the time in hours.

Front

How do you convert a table of values into an equation?

Back

To convert a table of values into an equation, identify the constant rate of change (slope) and use the format y = mx.

Front

What does the term 'unit rate' mean?

Back

Unit rate is the ratio of two measurements in which the second measurement is 1.

Front

What is the significance of the slope in a graph of a proportional relationship?

Back

The slope indicates how much one variable changes in relation to another variable.

Front

If the equation is y = 5x, what is the value of y when x = 3?

Back

When x = 3, y = 5 * 3 = 15.