Direct Variation 2022

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

If y varies directly with x, and y = 20 when x = 5, what is the constant of variation (k)?

Back

k = y/x = 20/5 = 4.

Front

If y = 12 when x = 3, what is the equation of direct variation?

Back

y = 4x.

Front

Nikki can make 4 baskets in 1/2 hour. How many baskets can she make in 1 hour?

Back

8 baskets.

Front

If y varies directly with x and y = 32 when x = 4, what is the value of y when x = 8?

Back

y = 64.

Front

What is the formula for direct variation?

Back

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

Front

If Heather earns $174 for 24 hours of work, how much does she earn per hour?

Back

$7.25 per hour.

Front

If y = 39 when x = 3, what is the value of y when x = 6?

Back

y = 78.

Front

In a direct variation, if y = 128 when x = 2, what is the value of y when x = 4?

Back

y = 256.

Front

What does it mean for two quantities to vary directly?

Back

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