Problem-Solving and Data Analysis: Ratios, Rates, Proportional Relationships — Quiz 1

Questions in this quiz (10)

1. For a person $$m$$ miles from a lightning strike, the ratio of $$m$$ to the time $$k$$ in seconds is $$1:4$$. According to this estimate, how many miles away is the lightning if the time interval is $$32$$ seconds?

   • $$6$$
   • $$7$$
   • $$8$$
   • $$12$$

2. A dog has a mass of $$18$$ kilograms. What is the dog's mass, in grams? $$(1\text{ kilogram}=1000\text{ grams})$$

   • $$1800$$
   • $$18000$$
   • $$180000$$
   • $$180$$

3. A factory produces items at a constant rate of $$45$$ items per hour. At this rate, how many items will the factory produce in $$4$$ hours?

   • 180

4. A car travels at a speed of $$72$$ miles per hour. What is the car's speed, in feet per second? $$(1\text{ mile}=5280\text{ feet},\ 1\text{ hour}=3600\text{ seconds})$$

   • $$88.7$$
   • $$96.8$$
   • $$105.6$$
   • $$120.3$$

5. In a classroom, the ratio of boys to girls is $$3:2$$. If there are $$24$$ boys, how many girls are there?

   • $$12$$
   • $$16$$
   • $$18$$
   • $$36$$

6. A cyclist travels $$1800$$ miles in $$90$$ days. On average, how many miles does the cyclist travel per day?

   • $$15$$
   • $$18$$
   • $$20$$
   • $$25$$

7. A shopper spends $$48$$ dollars on apples that cost $$4$$ dollars per pound. How many pounds of apples did the shopper buy?

   • 12

8. How many feet are equivalent to $$2160$$ inches? $$(1\text{ foot}=12\text{ inches})$$

   • 180

9. A theater has $$4800$$ square feet of space. If each person needs at least $$6$$ square feet, what is the maximum number of people that can fit in the theater?

   • $$600$$
   • $$700$$
   • $$800$$
   • $$900$$

10. A product costs $$7.50$$ dollars per pound. What is the total cost, in dollars, for $$8$$ pounds?

    • 60