Mini Exam 7 — Timed Mini Exams

Questions in this quiz (10)

1. The table presents information about $$810$$ train cars in service on a railroad. Approximately what percentage of the train cars in service are double-decker cars that have been in service less than $$10$$ years?

   • $$3.5 \%$$
   • $$8.27 \%$$
   • $$2.96 \%$$
   • $$12.7 \%$$

2. $$g(x)=\frac{3x-9}{x^2-4x-12}$$Which equivalent form clearly shows the values not included in the domain?

   • $$\frac{3(x-3)}{x^2-4x-12}$$
   • $$\frac{3(x-3)}{(x-6)(x+2)}$$
   • $$g(x)=\frac{3}{x-6}$$
   • $$g(x)=\frac{1}{3x}$$

3. A gardener is designing a square flower bed with a 3-foot-wide border around it. The equation $$B=6p+36$$ relates the border area $$B$$ to the perimeter $$p$$ of the inner flower bed. How many feet will the perimeter increase for each additional square foot of the border's area?

   • $$3$$
   • $$6$$
   • $$18$$
   • $$\frac{1}{6}$$

4. In the $$xy$$-plane the graph of the function $$q$$ is a parabola. The graph intersects the $$x$$-axis at $$(-1,0)$$ and $$(r,0)$$. If the vertex occurs at $$(2,4)$$, what is the value of $$r$$?

   • $$0$$
   • $$3$$
   • $$4$$
   • $$5$$

5. The volume of a sphere is given by:$$V=\frac{4}{3}\pi r^3$$Planet $$X$$ has a radius that is $$6$$ times the radius of Planet $$Y$$. How many times larger is the volume of Planet $$X$$ than the volume of Planet $$Y$$?

   • $$6$$
   • $$36$$
   • $$216$$
   • $$432$$

6. In the $$xy$$-plane the graph of the function $$h$$ is a parabola. It intersects the $$x$$-axis at $$(2,0)$$ and $$(s,0)$$. The vertex is at $$(5,-3)$$. What is the value of $$s$$?

   • $$4$$
   • $$8$$
   • $$12$$
   • $$16$$

7. A metal rod is heated so that its temperature increases from $$20^\circ C$$ to $$95^\circ C$$ in $$15$$ seconds. Which function gives the temperature $$T$$ as a function of time $$t$$?

   • $$T=20+5t$$
   • $$T=95-5t$$
   • $$T=20+15t$$
   • $$T=95+5t$$

8. The number of bacteria in a sealed container has been tripling every $$8$$ hours. Which statement describes the correct type of function?

   • Linear growth, same amount each $$8$$-hour period
   • Exponential growth, same amount each $$8$$-hour period
   • Linear growth, same percentage each $$8$$-hour period
   • Exponential growth, same percentage each $$8$$-hour period

9. The equations of two lines are:$$x=\frac{1}{4}y$$$$72-3y=6x$$Which ordered pair represents their intersection?

   • $$(2,8)$$
   • $$(3,12)$$
   • $$(4,16)$$
   • $$(5,20)$$

10. In $$2016$$ the supply was $$60$$ million pounds and the price was $$22$$ dollars per pound. In $$2017$$ the price was $$20$$ dollars per pound and $$z$$ million pounds were sold. If total revenue was the same in both years, find $$z$$.

    • $$66$$
    • $$70$$
    • $$80$$
    • $$85$$