Math TEKS 8.4B

Front

What is the equation for a proportional relationship?

Back

A proportional relationship can be represented by the equation y = kx, where k is the constant of proportionality.

Front

How do you determine the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units. For example, for 72 balls in 24 cans, the unit rate is 72 ÷ 24 = 3 balls per can.

Front

What does it mean for a graph to represent a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality in the equation y = 19.25x?

Back

The constant of proportionality is 19.25, which indicates how much y changes for each unit increase in x.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 unit of y'.

Front

What is the significance of the origin in determining proportional relationships?

Back

The origin (0,0) is significant because a proportional relationship must pass through this point; if it does not, the relationship is not proportional.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified if the ratios of corresponding values are constant.

Front

What is the difference between a proportional relationship and a non-proportional relationship?

Back

A proportional relationship has a constant ratio and passes through the origin, while a non-proportional relationship does not maintain a constant ratio and may not pass through the origin.

Front

What is the formula to calculate the unit rate when given total distance and total time?

Back

The unit rate can be calculated using the formula: unit rate = total distance ÷ total time.

Front

How do you write an equation from a word problem?

Back

To write an equation from a word problem, identify the variables, determine the relationship between them, and express that relationship mathematically.