Problem-Solving and Data Analysis: Ratios, Rates, Proportional Relationships — Quiz 7

Questions in this quiz (10)

1. The equation $$d=72t$$ represents distance traveled. For any positive constant $$k$$, the distance traveled in $$12k$$ hours is how many times the distance traveled in $$3k$$ hours?

   • $$2$$
   • $$3$$
   • $$4$$
   • $$9$$

2. A liquid has a density of $$0.8$$ ounces per cubic inch. If the price is $$5$$ dollars per ounce, what is the price per cubic inch?

   • 4

3. At a competition, the ratio of judges to participants is $$2$$ to $$15$$. If there are $$x$$ judges, which expression represents the number of participants?

   • $$\frac{15x}{2}$$
   • $$15x$$
   • $$\frac{x}{15}$$
   • $$2x$$

4. The total mass of $$n$$ identical objects is $$m$$. Which expression represents the total mass of $$5n$$ objects?

   • $$\frac{m}{5}$$
   • $$5m$$
   • $$m+5$$
   • $$5+m$$

5. How many teaspoons are equivalent to $$45$$ tablespoons? $$(1\text{ tablespoon}=3\text{ teaspoons})$$

   • 135

6. A container holds $$20$$ fluid ounces. A tank contains $$2$$ gallons of water. How many times can the container be completely filled? $$(1\text{ gallon}=128\text{ fluid ounces})$$

   • $$10$$
   • $$12.8$$
   • $$25.6$$
   • $$256$$

7. A planet's moon completes one orbit in $$180$$ days. Another moon completes one orbit in $$210$$ days. How many more days does it take the second moon to complete $$15$$ orbits than the first moon to complete $$15$$ orbits?

   • 450

8. A car travels at a constant speed of $$65$$ miles per hour. How far does it travel in $$2.5$$ hours?

   • $$130$$
   • $$150$$
   • $$162.5$$
   • $$180$$

9. A box contains red and blue marbles in the ratio $$3:7$$. If there are $$84$$ blue marbles, how many red marbles are there?

   • 36

10. A machine produces $$48$$ units in $$6$$ minutes. At this rate, how many units will it produce in $$25$$ minutes?

    • $$160$$
    • $$180$$
    • $$200$$
    • $$240$$