Mini Exam 14 — Timed Mini Exams

Questions in this quiz (10)

1. A model predicts that the population of Riverton was $$22,500$$ in $$2010$$.The model also predicts that each year for the next $$6$$ years, the population increases by $$3%$$ of the previous year's population. Which equation best represents this model, where x is the number of years after $$2010$$, for $$x ≤ 6$$?

   • $$p = 0.97(22,500)^x$$
   • $$p = 1.03(22,500)^x$$
   • $$p = 22,500(0.97)^x$$
   • $$p = 22,500(1.03)^x$$

2. Daniel bought a box of NutriCrunch cereal. Each serving provides $$120$$ milligrams of vitamin C, which is $$10\%$$ of the daily allowance for adults. If $$p$$ percent of an adult’s daily allowance of vitamin C is provided by $$x$$ servings per day, express $$p$$ in terms of $$x$$.

   • $$p = 0.1x$$
   • $$p = 10x$$
   • $$p = (0.1)^{x}$$
   • $$p = (1.1)^{x}$$

3. The density of a certain type of metal is $$420$$ kilograms per cubic meter. A sample of this metal is in the shape of a cube and has a mass of $$370$$ kilograms. To the nearest hundredth of a meter, what is the length of one edge of this sample?

   • $$0.91$$
   • $$0.96$$
   • $$1.01$$
   • $$1.06$$

4. The regular price of a backpack at a store is $$24$$ dollars. The sale price is $$25%$$ less than the regular price, and the sale price is $$20%$$ greater than the store's cost for the backpack. What was the store's cost, in dollars, for the backpack?

   • $$15$$
   • $$20$$
   • $$12$$
   • $$16$$

5. A model estimates that sea turtles swim $$48$$ to $$55$$ miles per day. Which inequality represents the estimated total number of miles $$x$$ a sea turtle could swim in $$20$$ days?

   • $$20 \le x \le 55$$
   • $$68 \le x \le 75$$
   • $$60 \le x \le 110$$
   • $$960 \le x \le 1100$$

6. Solve $$\frac{1}{5}(x-8)-\frac{1}{2}(x-8)=6.$$

   • $$\frac{18}{5}$$
   • $$-\frac{12}{5}$$
   • $$-\frac{10}{3}$$
   • $$-12$$

7. A factory produces two types of cylindrical paint cans that each have a height of $$40$$ centimeters. The radius of can $$X$$ is $$10$$ centimeters, and the radius of can $$Y$$ is $$30\%$$ larger than the radius of can $$X$$. What is the volume, in cubic centimeters, of can $$Y$$?

   • $$6760\pi$$
   • $$12000\pi$$
   • $$16900\pi$$
   • $$20280\pi$$

8. The function $$h$$ is defined by $$h(x)=|x-12|$$. What is the value of $$h(7)$$?

   • $$19$$
   • $$-5$$
   • $$-19$$
   • $$5$$

9. The perimeter of an isosceles right triangle is $$30 + 10\sqrt{2}$$ inches. What is the length of the hypotenuse, in inches?

   • $$(2 - \sqrt{2})$$
   • $$10\sqrt{2}$$
   • $$20\sqrt{2} - 10$$
   • $$5\sqrt{2}$$

10. In which table is the relationship between $$x$$ and $$y$$ nonlinear?