Problem-Solving and Data Analysis: Ratios, Rates, Proportional Relationships — Quiz 5

Questions in this quiz (10)

1. For the values $$a$$ and $$b$$, the ratio of $$a$$ to $$b$$ is $$7$$ to $$9$$. If $$a$$ is multiplied by $$5$$, by what number must $$b$$ be multiplied to maintain the same ratio?

   • 5

2. The population density of a region increased from $$4.2$$ to $$5.1$$ people per square kilometer. If the land area is $$80000$$ square kilometers, by how many people did the population increase?

   • $$72000$$
   • $$80000$$
   • $$120000$$
   • $$160000$$

3. A cube has an edge length of $$4$$ centimeters and a density of $$0.5$$ grams per cubic centimeter. What is the mass of the cube, in grams?

   • 32

4. A satellite travels at a speed of $$2.5$$ miles per second. What is its speed in miles per hour?

   • $$9000$$
   • $$8400$$
   • $$7200$$
   • $$6500$$

5. For a rectangle, the ratio of its length to width is $$9$$ to $$4$$. If the width increases by $$8$$ units, how must the length change to maintain the ratio?

   • $$Increase\ by\ 18\ units$$
   • $$Increase\ by\ 16\ units$$
   • $$Decrease\ by\ 18\ units$$
   • $$Decrease\ by\ 8\ units$$

6. A pipe fills $$120x$$ liters of water in $$6y$$ minutes. Which expression represents the amount of water the pipe fills in $$15y$$ minutes?

   • $$300x$$
   • $$360x$$
   • $$450x$$
   • $$600x$$

7. The ratio $$x:y=8:3$$. If $$x=200$$, what is the value of $$y$$?

   • 75

8. The density of a material is $$250$$ kilograms per cubic meter. A cube has edge length $$0.8$$ meters. What is the mass, in kilograms?

   • $$128$$
   • $$160$$
   • $$200$$
   • $$256$$

9. A person invests $$x$$ dollars. The amount triples every year. After $$3$$ years, the total is $$810$$. What is the value of $$x$$?

   • 30

10. A car's acceleration is $$5$$ meters per second squared. What is this acceleration in meters per minute squared?

    • $$300$$
    • $$1800$$
    • $$3000$$
    • $$18000$$