Direct Variation

Front

What is Direct Variation?

Back

Direct Variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality in a direct variation?

Back

The constant of proportionality (k) is the constant factor that relates the two variables in a direct variation. It is the ratio of y to x (k = y/x).

Front

If y varies directly with x, and y = 16 when x = 1, what is the constant of proportionality?

Back

The constant of proportionality is 16.

Front

If Trina earns $187.15 for 19 hours of work, how much does she earn per hour?

Back

She earns approximately $9.84 per hour.

Front

If y = 2x, what is the value of y when x = 5?

Back

y = 10.

Front

Is the equation y = 3x a direct variation?

Back

Yes, it is a direct variation because it can be expressed in the form y = kx.

Front

What does it mean if two quantities vary directly?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.

Front

If the interest on a savings account varies directly with the amount deposited, what happens if the deposit amount doubles?

Back

The interest earned will also double.

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where k is the constant of proportionality.

Front

If Daniel received $55.35 in interest on $1230, how much interest would he receive on $2000?

Back

He would receive $90.00 in interest.