Mini Exam 12 — Timed Mini Exams

Questions in this quiz (10)

1. On a car trip, Rhett and Jessica each drove for part of the trip, and the total distance they drove was under 220 miles. Rhett drove at an average speed of 35 miles per hour, and Jessica drove at an average speed of 40 miles per hour. Which inequality represents this situation, where $$r$$ is the number of hours Rhett drove and $$j$$ is the number of hours Jessica drove?

   • $$35r+40j$$ > $$220$$
   • $$35r+40j$$ < $$220$$
   • $$40r+35j$$ > $$220$$
   • $$40r+35j$$ < $$220$$

2. David bought some potatoes and celery. The potatoes cost $$\$0.69$$ per pound, and the celery cost $$\$0.99$$ per pound. If David spent $$\$5.34$$ in total and bought twice as many pounds of celery as pounds of potatoes, how many pounds of celery did David buy?

   • $$2$$
   • $$2.5$$
   • $$2.67$$
   • $$4$$

3. The equation $$b=42cf$$ relates the positive numbers $$b$$, $$c$$, and $$f$$. Which equation correctly expresses $$c$$ in terms of $$b$$ and $$f$$?

   • $$c=\frac{b}{42f}$$
   • $$c=\frac{b-42}{f}$$
   • $$c=42bf$$
   • $$c=42-b-f$$

4. In the given scatterplot, a line of best fit for the data is shown. Which of the following is closest to the slope of this line of best fit?

   • $$7$$
   • $$0.7$$
   • $$-0.7$$
   • $$-7$$

5. Scientists collected fallen acorns that each housed a colony of the ant species $$P. Ohioensis$$ and analyzed each colony's structure. For any of these colonies, if the colony has $$x$$ worker ants, the equation $$y=0.67x+2.6$$, where $$20\le x\le110$$, gives the predicted number of larvae, $$y$$, in the colony. If one of these colonies has 58 worker ants, which of the following is closest to the predicted number of larvae in the colony?

   • $$41$$
   • $$61$$
   • $$83$$
   • $$190$$

6. Immanuel purchased a certain rare coin on January 1. The function $$f(x)=65(1.03)^x$$, where $$0\le x\le10$$, gives the predicted value, in dollars, of the rare coin $$x$$ years after Immanuel purchased it. What is the best interpretation of the statement “$$f(8)$$ is approximately equal to 82” in this context?

   • When the rare coin's predicted value is approximately 82 dollars, it is 8% greater than the predicted value, in dollars, on January 1 of the previous year.
   • When the rare coin's predicted value is approximately 82 dollars, it is 8 times the predicted value, in dollars, on January 1 of the previous year.
   • From the day Immanuel purchased the rare coin to 8 years after Immanuel purchased the coin, its predicted value increased by a total of approximately 82 dollars.
   • 8 years after Immanuel purchased the rare coin, its predicted value is approximately 82 dollars.

7. What number is 40% greater than 115?

   • 161

8. For the values $$j$$ and $$k$$, the ratio of $$j$$ to $$k$$ is 11 to 12. If $$j$$ is multiplied by 17, what is $$k$$ multiplied by in order to maintain the same ratio?

   • 17

9. The table shows three values of $$x$$ and their corresponding values of $$y$$, where $$n$$ is a constant, for the linear relationship between $$x$$ and $$y$$.What is the slope of the line that represents this relationship in the $$xy$$-plane?

   • $$-\frac{92}{3}$$
   • $$-\frac{3}{92}$$
   • $$\frac{n+92}{-3}$$
   • $$\frac{2n-92}{3}$$

10. The figure shown is a right circular cylinder with a radius of $$r$$ and height of $$h$$. A second right circular cylinder has a volume that is 392 times as large as the volume of the cylinder shown. Which of the following could represent the radius $$R$$, in terms of $$r$$, and the height $$H$$, in terms of $$h$$, of the second cylinder?

    • $$R=8r$$ and $$H=7h$$
    • $$R=8r$$ and $$H=49h$$
    • $$R=7r$$ and $$H=8h$$
    • $$R=49r$$ and $$H=8h$$