Problem-Solving and Data Analysis: Ratios, Rates, Proportional Relationships — Quiz 6

Questions in this quiz (10)

1. A spacecraft travels at a constant speed of $$3.25$$ miles per second. What is its speed in yards per hour? $$(1\text{ mile}=1760\text{ yards})$$

   • $$20592000$$
   • $$18720000$$
   • $$20592$$
   • $$11440000$$

2. A county has a population density of $$185$$ people per square mile and a total population of $$92500$$. What is the area of the county, in square miles?

   • 500

3. A city has a total area of $$75$$ square miles, of which $$12$$ square miles are water. If the population is $$315000$$, which value is closest to the population density per square mile of land?

   • $$4200$$
   • $$4500$$
   • $$5000$$
   • $$6000$$

4. Objects A and B move at constant speeds. Object A travels twice as fast as object B. If object A travels $$6x$$ meters in $$y$$ seconds, how many seconds does it take object B to travel $$18x$$ meters?

   • $$3y$$
   • $$6y$$
   • $$9y$$
   • $$12y$$

5. A runner moves at a speed of $$\frac{5}{12}$$ feet per second. What is this speed in yards per second? $$(3\text{ feet}=1\text{ yard})$$

   • $$\frac{5}{36}$$
   • $$\frac{5}{4}$$
   • $$\frac{15}{12}$$
   • $$\frac{5}{3}$$

6. A worker earns $$18.75$$ dollars per hour. If the worker earns $$18.75x$$ dollars for $$x$$ hours, which expression represents the total earnings for $$4x$$ hours?

   • $$75x$$
   • $$4(18.75x)$$
   • $$18.75(4x)$$
   • $$75+x$$

7. A cube has edge length $$2.5$$ cm and a mass of $$6.25$$ grams. What is its density, in grams per cubic centimeter?

   • 0.4

8. Rectangle A has length $$12$$ and width $$w$$. Rectangle B has length $$18$$ and the same ratio of length to width as rectangle A. What is the width of rectangle B?

   • $$\frac{3}{2}w$$
   • $$\frac{2}{3}w$$
   • $$w+6$$
   • $$w-6$$

9. A solid cube has density $$900$$ kg/m$$^3$$ and side length $$0.7$$ meters. What is its mass, to the nearest whole number?

   • $$309$$
   • $$343$$
   • $$441$$
   • $$567$$

10. A food item contains $$9$$ grams of protein and costs $$0.45$$ dollars. Another contains $$12$$ grams of protein and costs $$0.60$$ dollars. What is the ratio of the cost per gram of the first item to the second?

    • $$1:1$$
    • $$2:3$$
    • $$3:2$$
    • $$4:5$$