Unit 10: Topics 1-4

The time required to empty a tank varies inversely as the rate of pumping. If a pump can empty a tank in 30 minutes at the rate of 250 kl/min, how long will it take the pump to empty the same tank at the rate of 100 kl/min?

• 60 minutes

• 10 minutes

• 7,500 minutes

• 75 minutes

• Those are both correct solutions

• There is no solution

• {3}

• {-2}
• {5, 7}

• {-4, -1}

• 3

• 4

• 5

• 8

The director of the Bigtown Aquarium would like to have a ratio of 3 catfish for every 7 rainbow trout. The aquarium currently has 4 catfish and 21 rainbow trout. Which equation could be used to determine x, the number of additional catfish that needs to be purchased in order to get the desired ratio?

The time required to do a job varies inversely as the number of people working. It takes 10 hours for 4 bricklayers to build a park wall. How long will it take 8 brick layers to complete the job?

• 5 hours

• 50 hours

• 40 hours

• 4 hours

• 7

• -7

• 6

• -6

• {-2, 3}

• {0, 5.5}

• {-0.3, 5, 9}

• {-3, 2}

What is the vertex of the following function: f(x) = 5√(x - 8)

• (0, 8)

• (8, -5)

• (5, -8)

• (8, 0)

• Domain: [7, ∞) and Range: [0, ∞)

• Domain: [7, ∞) and Range: (−∞, ∞)

• Domain: [0, ∞) and Range: [7, ∞)

• Domain: (−∞, ∞) and Range: [7, ∞)