Question 1

A technician tests batteries for a battery manufacturer several times each week. She determines that the number of defective batteries is proportional to the number of batteries tested. The table below shows the numbers of batteries the technician tested at two different times during week 1 and the number of defective batteries she found each time.

Between week 1 and week 2, the battery manufacturer changed its process. The number of defective batteries is still proportional to the number of batteries tested, but the constant of proportionality is greater. The technician tested 480 batteries during week 2 and found that 18 were defective. By what percent did the constant of proportionality increase?

Accepted Answer

$50\%$

Answer

$66\frac{2}{3}\%$

Answer

$125\%$

Answer

$33\frac{1}{3}\%$

Question 2

Kenneth is making chocolate cakes. For each cup of milk he uses, he needs to use $1\frac{3}{4}$ cups of flour. For each cup of flour he uses, he needs to use $\frac{3}{7}$ cup of cocoa powder. Kenneth is making enough cakes that he needs to use $4$ cups of milk. How many cups of cocoa powder does Kenneth need to use?

Accepted Answer

$3$

Answer

$7$

Answer

$\frac{3}{28}$

Answer

$\frac{12}{7}$

Question 3

The graph below represents the amount of simple interest $(I)$, in dollars, earned on an investment of $P$ dollars over one year. The interest rate is $r$.

An investment of $$\$600$$ at a different interest rate $(q)$ will earn $$\$24$$ in simple interest over one year. Which statement about interest rates $r$ and $q$ is true?

Accepted Answer

Interest rate r is $2\%$ greater than interest rate $q$.

Answer

Interest rate $q$ is $12\%$ less than interest rate $r$.

Answer

Interest rate $r$ is $8\%$ less than interest rate $q$.

Answer

Interest rate $q$ is the same as interest rate $r$.

Question 4

The ratio of the number of students in the chess club to the number of students on the math team is $1 : 3$. The ratio of the number of students on the math team to the number of students on the quiz bowl team is $1 : 2$. There are $4$ students in the chess club. How many students are on the quiz bowl team?

Accepted Answer

24

Answer

12

Answer

7

Answer

9

Question 5

An art dealer purchased a painting $5$ years ago for $$\$2,000$$. Now, the value of the painting has increased by $75\%$. What is the value of the painting now?

Accepted Answer

$3,500

Answer

$3,000

Answer

$2,750

Answer

$2,375

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