Direct and Inverse Proportion

y is directly proportional to x. When x= 2, y = 8. Which equation represents this situation?

t is inversely proportional to v t=2 when v=6 Find the equation for t and v

• t = ¹²/_v

• t = ¹/₃ v

• t = ³/_v

• t = 12v

How many days does it take for 8 men to construct the same bridge?

• 5

• 10

• 180

• 200

Which of the following is a case of inverse variation?

• time taken for a journey and distance covered with a uniform speed

• population increased in a fixed area, then per person area is decreased

• area of cultivated land and the crops harvested

• cost of cloth and quantity of cloth purchased.

Both x and y vary inversely with each other. When x is 10, y is 6, which of the following is not a possible pair of corresponding values of x and y?

• 12 and 5

• 15 and 4

• 25 and 2.4

• 45 and 1.3

A garrison of 500 men has provisions for 24 days. However, a reinforcement of 300 men arrived. The food will now last for

• 15 days

• 16 days

• 17.5 days

• 18 days

If q is inversely proportional to p² and q=3 when p=5, find an equation connecting p and q.

The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

• $ 2

• $ 1.57

• $ 308

• $ 265

Is this a direct proportion?

y=2x

• Yes

• No

t is directly proportional to n². Given t=144 when n=6. Find the equation for t and n.

• t = 4n²

• t = 4n

• t = 24n

• t = 6n²