Math 112 Spring 2024 Midterm 1 Practice Exam Questions
18 Questions
2 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the maximum profit according to the given information?

  • Between $850,000 and $900,000
  • Between $800,000 and $850,000
  • More than $900,000 (correct)
  • Between $750,000 and $800,000

For the linear function graphed below, what is the correct equation?

  • $y=-x+\frac{1}{2}$
  • $y=x+1$
  • $y=2x+1$ (correct)
  • $y=\frac{1}{x+1}$

Which equation correctly models the depreciation of Samantha's car after t years from the initial purchase?

  • $D(t)=-3500t$
  • $D(t)=-3500t+45,000$
  • $D(t)=-3500t+41,500$ (correct)
  • $D(t)=-3500t+38,000$

What does the slope of the depreciation function ($-3,500$) indicate in practical terms?

<p>The car decreases in value by $3,500 each year. (C)</p> Signup and view all the answers

What is the initial purchase price of Samantha's car based on the depreciation function?

<p>$$79,500$$ (A)</p> Signup and view all the answers

If Samantha wanted to calculate the car's value after 3 years using the depreciation function, what amount should she expect?

<p>$$34,500$$ (B)</p> Signup and view all the answers

What is the slope of the car's depreciation model?

<p>$-3,500 (D)</p> Signup and view all the answers

Based on the given information, what is the initial purchase price of Samantha's car?

<p>$79,500 (B)</p> Signup and view all the answers

What would be the total cost of the ticket for traveling 25 miles?

<p>$33.00 (C)</p> Signup and view all the answers

If the function definition for f(x) is rearranged to be single-piece, how would it look?

<p>$x + 2$ (A)</p> Signup and view all the answers

What is the expression for the total cost of a subway ticket, C(x), if x represents the number of miles traveled?

<p>$1.30x$ if $x leq 20$, $1.15(x-20)$ if $x &gt; 20$ (B)</p> Signup and view all the answers

Bonus Question: What is the maximum number of miles MJ can travel on the subway with $24?

<p>Between 15 and 17 miles (B)</p> Signup and view all the answers

What does the function y = x - 4 represent in the given context?

<p>The cost of producing each DVD player (B)</p> Signup and view all the answers

How are the x-intercepts related to profit in the context of the DVD player manufacturer's function?

<p>They indicate the number of DVD players needed to break even (B)</p> Signup and view all the answers

What does the value 258 in the profit function represent?

<p>The rate of change of profit (A)</p> Signup and view all the answers

What is the significance of the open interval (150, 6450) in relation to the profit function?

<p>It represents a range of increasing profits (A)</p> Signup and view all the answers

Why is it important for a manufacturer to know the maximum profit according to the model?

<p>To assess potential profits and make business decisions (B)</p> Signup and view all the answers

If a different linear function were to represent revenue instead of cost, how would this impact profit calculations?

<p>It would not affect profits directly as revenue and cost are separate (C)</p> Signup and view all the answers

More Like This

Math Test 4: Probability Quiz
36 questions
Times Tables 1 - 12 Flashcards
99 questions
Use Quizgecko on...
Browser
Browser