COP in tables

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how one quantity changes in relation to another.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality, divide the value of one quantity by the corresponding value of the other quantity in the table.

Front

If a table shows that 9 hours corresponds to $81, what is the constant of proportionality?

Back

$9 per hour.

Front

What does a constant of proportionality of 45 mph indicate?

Back

It indicates that for every hour, the distance traveled is 45 miles.

Front

In a proportional relationship, if one quantity doubles, what happens to the other quantity?

Back

The other quantity also doubles.

Front

What is the constant of proportionality if the values are 2 and 6?

Back

3 (since 6 divided by 2 equals 3).

Front

If the constant of proportionality is 4, what does this mean in a real-world context?

Back

It means that for every unit increase in one quantity, the other quantity increases by 4 units.

Front

What is the formula to express a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

If a table shows a constant of proportionality of 2, what can you infer about the relationship?

Back

For every unit increase in the first quantity, the second quantity increases by 2 units.

Front

What is the significance of the constant of proportionality in graphs?

Back

It represents the slope of the line in a graph of two proportional quantities.