Ratios, Rates, Proportional Relationships 2 — Problem-Solving and Data Analysis

Questions in this quiz (7)

1. The force exerted by a fluid on a flat surface is the product of the fluid's pressure and the area of the surface. A certain flat surface consists of two adjacent squares. The side length, in meters, of the larger square is $$3$$ times the side length, in meters, of the smaller square. A fluid exerts a uniform pressure of $$15.0$$ newtons per square meter on this surface. If the total force exerted by the fluid on this surface is $$750$$ newtons, what is the force, in newtons, exerted by the fluid on the larger square?

   • $$500$$
   • $$625$$
   • $$675$$
   • $$720$$

2. Maria eats a protein bar called PowerBites. The nutrition label shows that one bar provides $$240$$ milligrams of calcium, which is equal to $$6\%$$ of the daily recommended intake for adults. If $$q$$ percent of an adult's daily recommended calcium intake is supplied by eating $$y$$ PowerBites bars each day, which of the following formulas accurately depicts $$q$$ in terms of $$y$$?

   • $$q=(0.06)^y$$
   • $$q=(1.06)^y$$
   • $$q=6y$$
   • $$q=0.6y$$

3. Train $$X$$ and Train $$Y$$ each travel at a constant speed. The speed of Train $$X$$ is one-half the speed of Train $$Y$$. Train $$X$$ travels a distance of $$6d$$ kilometers in $$t$$ hours. Which expression represents the time, in hours, it takes Train $$Y$$ to travel a distance of $$15d$$ kilometers?

   • $$\frac{5t}{4}$$
   • $$\frac{5t}{2}$$
   • $$\frac{15t}{2}$$
   • $$5t$$

4. A sample of marble has a density of $$2700$$ kilograms per cubic meter. The sample is in the shape of a cube, where each edge has a length of $$0.50$$ meters. To the nearest whole number, what is the mass, in kilograms, of this sample?

   • $$338$$
   • $$540$$
   • $$675$$
   • $$1,350$$

5. By $$2:00$$ PM, a total of $$30$$ boxes had been unloaded from a delivery truck. By $$4:30$$ PM, a total of $$55$$ boxes had been unloaded from the same truck. If boxes are unloaded from the truck at a constant rate, what is the total number of boxes that will have been unloaded from the truck by $$7:00$$ PM?

   • $$40$$
   • $$60$$
   • $$80$$
   • $$90$$

6. A smartphone company releases a new model every year. With each new model, the company increases the battery life by a constant amount. In $$2012$$, the battery life was $$10$$ hours. In $$2018$$, the battery life was $$13$$ hours. Which of the following best describes how the battery life changed between $$2012$$ and $$2018$$?

   • The company increases the battery life by $$0.5$$ hour every year.
   • The company increases the battery life by $$1$$ hour every year.
   • The company increases the battery life by $$2$$ hours every year.
   • The company increases the battery life by $$3$$ hours every year.

7. Marcus has a square patio. He decides to expand the patio by making each side $$20\%$$ longer. After this expansion, the area of Marcus's patio will have increased by what percent?

   • $$40\%$$
   • $$44\%$$
   • $$48\%$$
   • $$50\%$$