Direct and Inverse Variation Word Problems

Front

Which of the following represents direct variation? Options: y = kx, y = k/x, y = x/k, y = mx + b

Back

y = kx

Front

Which of the following represents indirect variation? Options: y = kx, y = k/x, y = x/k, y = mx + b

Back

y = k/x

Front

Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

Back

y=5.25x

Front

If y = 15 when x = 12, find y when x = 32.

Back

40

Front

The width of a rectangle varies inversely with its length. If the width is 6 when the length is 24, give an equation that shows the relationship.

Back

y = 144/x

Front

The height of a wave in California varies directly with the seconds that pass by. At 4 seconds, the wave is 6 feet high. How many seconds will give you a wave that is 10 feet high?

Back

6.6

Front

Y is directly proportional to the square of z and inversely proportional to w.

Back

y=kz²/w

Front

The number of kilograms of water in a person’s body varies directly as the person’s mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person whose mass is 75 kg?

Back

50 kg water

Front

Interest received on $1230 is $55.35. How much interest on $2000?

Back

90.00

Front

Y varies inversely with x, and y is 0.5 when x is 4. Which equation represents this situation?

Back

y=4x