direct and inverse variation word problems

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 a non-zero constant.

Front

What is inverse variation?

Back

Inverse variation is a relationship between two variables where the product of the two variables is a constant. It can be expressed as y = k/x, where k is a non-zero constant.

Front

If y varies directly as x and y = 10 when x = 2, what is the value of y when x = 5?

Back

y = 25

Front

If the number of hours worked varies inversely with the number of workers, and 4 workers can complete a task in 10 hours, how long will it take 2 workers?

Back

20 hours

Front

What is the formula for direct variation?

Back

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

Front

What is the formula for inverse variation?

Back

The formula for inverse variation is y = k/x, where k is the constant of variation.

Front

If y varies directly as x and y = 12 when x = 3, find y when x = 6.

Back

y = 24

Front

If the speed of a car varies inversely with the time taken to travel a fixed distance, and it takes 4 hours at 60 km/h, how long will it take at 80 km/h?

Back

3 hours

Front

What does it mean if two quantities vary directly?

Back

It means that as one quantity increases, the other quantity also increases, and vice versa.

Front

What does it mean if two quantities vary inversely?

Back

It means that as one quantity increases, the other quantity decreases, and vice versa.