Mini Exam 20 — Timed Mini Exams

Questions in this quiz (10)

1. A company's revenue is modeled by $$R(t)=50000(1.04)^t$$, where $$t$$ is the number of years after $$2020$$. What is the best interpretation of $$R(3)$$?

   • The revenue in $$2020$$ was approximately $$56243$$.
   • Three years after $$2020$$, the predicted revenue was approximately $$56243$$.
   • The revenue increased by $$56243$$ over three years.
   • The revenue in $$2023$$ was approximately $$50000$$.

2. A gym charges a monthly membership fee of $$25$$ dollars plus $$4$$ dollars per fitness class attended. A member wants to spend no more than $$85$$ dollars in a month. Let $$x$$ represent the number of fitness classes attended. Which inequality models this situation?

   • $$25+4x\le85$$
   • $$25+4x\ge85$$
   • $$4+25x\le85$$
   • $$4+25x\ge85$$

3. In triangle $$\triangle PQR$$, points $$S$$ and $$T$$ are on sides $$PQ$$ and $$PR$$, respectively, such that $$\overline{ST}\parallel\overline{QR}$$. The ray $$SU$$ bisects $$\angle PST$$, with point $$U$$ lying on $$PT$$. If the measure of $$\angle PQR$$ is $$65^\circ$$ and the measure of $$\angle PRQ$$ is $$55^\circ$$, what is the measure of $$\angle SUT$$?

   • $$50^\circ$$
   • $$60^\circ$$
   • $$65^\circ$$
   • $$95^\circ$$

4. A small company manufactures custom mugs. Each month, the company incurs a fixed operating cost of $$750$$ dollars. The cost to produce each mug is $$6$$ dollars, and each mug sells for $$24$$ dollars. Due to production limits, the company can produce at most $$250$$ mugs per month. If the company wants to earn a monthly profit of at least $$3000$$ dollars, what is the minimum number of mugs it must sell?

   • $$208$$
   • $$209$$
   • $$210$$
   • $$250$$

5. $$5x-2y=18$$ $$\frac{1}{3}x+\frac{1}{2}y=4$$The system of equations has solution $$(x,y)$$. What is the value of $$10x-4y$$?

   • $$18$$
   • $$24$$
   • $$36$$
   • $$72$$

6. The value of a certain boat, in dollars, $$t$$ years after purchase, can be modeled by the linear function $$B(t)=36000-2400t$$. Based on the model, what is the meaning of the number $$2400$$ in this context?

   • The initial value of the boat, in dollars.
   • The value of the boat after $$1$$ year, in dollars.
   • The decrease in the boat's value each year, in dollars.
   • The number of years until the boat has no value.

7. A solid rectangular prism has a length of $$12$$ cm, a width of $$6$$ cm, and a height of $$10$$ cm. A cylindrical hole with a radius of $$3$$ cm is drilled completely through the prism so that its axis is parallel to the prism's height. What is the volume, in cubic centimeters, of the remaining solid?

   • $$720-30\pi$$
   • $$720-60\pi$$
   • $$720-90\pi$$
   • $$720-120\pi$$

8. An internet service provider charges a base fee of $$50$$ dollars for the first $$8$$ gigabytes of data used. For any data used beyond $$8$$ GB, there is an additional charge of $$5$$ dollars per GB. If a customer's monthly bill was $$80$$ dollars, how many gigabytes of data did the customer use?

   • $$12$$ GB
   • $$14$$ GB
   • $$16$$ GB
   • $$18$$ GB

9. The table shows the production rates of two machines, Machine A and Machine B. Based on the information in the table, what is the ratio of the time it takes Machine A to produce $$600$$ parts to the time it takes Machine B to produce $$600$$ parts?

   • $$5:4$$
   • $$4:5$$
   • $$1:1$$
   • $$6:5$$

10. The concentration $$M$$, in milligrams per liter, of a certain medication in a patient's bloodstream $$t$$ hours after administration is modeled by $$M(t)=-0.25t^2+3t+5$$. What does the value $$5$$ represent in the function?

    • The maximum concentration of the medication.
    • The initial concentration of the medication.
    • The time required to reach maximum concentration.
    • The rate at which the medication leaves the bloodstream.