Solve Direct Variation 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 the constant of variation.

Front

If y varies directly as x and y = 12 when x = 4, what is the constant of variation (k)?

Back

k = 3

Front

Trina's paycheck earnings vary directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?

Back

$394

Front

On a treasure map, if 15 miles is represented by 3 centimeters, how many centimeters represent 135 miles?

Back

27 cm

Front

If y varies directly as x and y = 24 when x = 8, what is the value of y when x = 15?

Back

30

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

If y = 18 when x = 6, what is the constant of variation?

Back

k = 3

Front

How do you find the constant of variation from a direct variation problem?

Back

To find the constant of variation, divide y by x (k = y/x).

Front

If Maria typed 275 words in 5 minutes, how long would it take her to type 1,100 words?

Back

20 minutes

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.