Direct variations applications

Front

What does it mean for a quantity to be directly proportional to another quantity?

Back

A quantity is directly proportional to another if it increases or decreases in direct relation to that quantity. This means that if one quantity doubles, the other also doubles.

Front

If a job pays $70 for 5 hours of work, how do you calculate the pay for a different number of hours?

Back

To calculate the pay for a different number of hours, use the formula: Pay = (Hourly Rate) x (Number of Hours). First, find the hourly rate by dividing the pay by the hours worked.

Front

How do you determine the time it takes to travel a certain distance at a constant speed?

Back

Use the formula: Time = Distance / Speed. First, calculate the speed, then use it to find the time for the desired distance.

Front

What is the relationship between the number of workers and the time taken to complete a task if the work is constant?

Back

The relationship is inversely proportional; as the number of workers increases, the time taken to complete the task decreases.

Front

What is the formula for calculating current in an electrical circuit when resistance is known?

Back

The formula is Ohm's Law: I = V/R, where I is the current, V is the voltage, and R is the resistance.

Front

How do you express an inverse variation relationship mathematically?

Back

An inverse variation relationship can be expressed as y = k/x, where k is a constant.

Front

If the width of a rectangle varies inversely with its length, what does this imply about the product of width and length?

Back

It implies that the product of width and length is constant; as one increases, the other decreases.

Front

What is the significance of the constant of proportionality in direct and inverse variations?

Back

The constant of proportionality (k) determines the specific relationship between the variables in direct or inverse variations.

Front

How can you find the current in a circuit if the resistance changes?

Back

Use Ohm's Law (I = V/R) to recalculate the current with the new resistance value.

Front

What is the formula to find the hourly rate if you know the total pay and hours worked?

Back

Hourly Rate = Total Pay / Hours Worked.