3rd Summative Test Math 9 Direct and Inverse Variation

The amount of time t, needed to dig ditches varies inversely with the of people p, who are digging the ditches. If it takes 3 people 40 hours to dig a ditch, how many hours will it take for 5 people to dig the same size ditch?

• 24 hours

• 20 hours

• 23 hours

The number of pages Andrew reads per hour varies inversely with the number of paragraphs he must re-read for clarification. If he is able to read 12 pages per hour, and must re-read 5 paragraphs, how many pages van he read per hour if he has to re-read 6 paragraphs?

• 60 pages

• 58 pages

• 62 pages

The number of Math problems Amelia get finished while doing her homework varies inversely with the number of text messages she received while studying. If Amelia get 12 problems finished while receiving 9 text messages,how many problems does she finish if she received 4 text messages?

• 27 problems

• 18 problems

• 15 problems

A poultry farm has supplies enough for 10 days to feed 200 chickens. If 250 chickens are in the farm, how many days will the poultry feed last?

• 8 days

• 5 days

• 3 days

The price of a bond varies inversely with the interest rate. When the bond price falls $800, the interest rate goes up to 12.5 %. Calculate the fall in the interest rate , if the price of the bond rises to $1200.

• 8.33%

• 7.23%

• 8.23%

Pablo, a car salesman receives a a flat dollar amount as commission for selling new cars. He received $3000 on the sale of 12 cars. What will his commission be, if he sells 17 cars?

• $4250

• $4350

• $4000

A factory in Delaware produces 897 units in 3 hours. How many units are produced in 7 hours?

• 2083 units

• 2093 units

• 2063 units

A group of 2o students intend to contribute $ 10 to buy a gift for their teacher. How much will each student contribute,if 5 more pitch in?

• $5

• $6

• $8

Gabriel drew a picture of a wheel with 6 spokes. The angle between the adjacent pair of spoke was 60 degree. Find the measure of the angles for a wheel drawn with 10 spokes.

• 33 degree

• 34 degree

• 36 degree

A plant grows at a rate inversely proportional to the temperature outside. At 45 degrees, it grows 2 inches per day. How many inches will it grow per day at 50 degrees?

• 0.9 inches

• 1.8 inches

• 1.2 inches