Suppose that P a 3 100P a 5 64 P0a3100P0a564 Use this information to find a and

Suppose that p a 3 100p a 5 64 p0a3100p0a564 use this

This preview shows page 54 - 60 out of 86 pages.

Suppose that P 0 a 3 =100,P 0 a 5 =64 P0a3=100,P0a5=64 Use this information to find a and P 0 P0 and state the rate of exponential growth or decay. a=0.8, , exponential growth at a rate of 80%. a=0.64, , exponential decay at a rate of 36%. Correct! a=0.8, , exponential decay at a rate of 20%. a=2.75, , exponential growth at a rate of 2.75%
Image of page 54

Subscribe to view the full document.

a=1.56, , exponential growth at a rate of 56%. We have two equations and two unknowns. We can eliminate if we first solve each equation for . This first step gives us two equations for . We have two expressions that both equal , so we can set them equal to each other, and then solve for : Use in either above equation to find . You should get the same answer either way so you can use both as a check. Question 14 2 / 2 pts Suppose a firm has a linear profit function P(x) = 5x-3000. This function has one x- intercept. Interpret the meaning of the x-intercept in economic terms. Hint: Ask yourself how much the profit is at the x-intercept. The x-intercept is 5. This the price that the firm charges for each unit. The x-intercept is 600. This is the firm's marginal profit. Correct!
Image of page 55
The x-intercept is 600. This is the quantity the firm must produce and sell to break-even. The x-intercept is -3000. The firm has fixed costs of $3000. The x-intercept is 5. This is the firm's marginal revenue. An -intercept is where . When profit is zero, we are at a break-even point for the firm. To find such that , we set and solve: Question 15 2 / 2 pts Suppose that an initial quantity of 200 mg of caffeine from a large coffee is metabolized by the body at a rate of 13% per hour. Choose the expression that best represents the amount of caffeine in the body after 5 hourThe decay rate is . The correct exponential equation has the form where is the initial amount and is the number of years. For this example, .
Image of page 56

Subscribe to view the full document.

Lesson 1 Quiz Attempts 2 and 3 Due Sep 9 at 11:59pm Points 25 Questions 15 Available after Aug 30 at 12am Time Limit 75 Minutes Allowed Attempts 2 Take the Quiz Again Attempt History Attempt Time LATEST Attempt 1 49 minutes Score for this attempt: 20 out of 25
Image of page 57
Submitted Sep 9 at 1:31pm This attempt took 49 minutes. Question 1 0 / 1.67 pts At a retail store, the number of customers in the store, N is a function of t, the number of hours since the store opened at 9:00 am, so N = f(t). Explain the meaning of the statement f(4)= 12. At 4:00 pm there were 12 customers in the store. At 9pm, there were 4 customers in the store. Correct Answer At 1:00 pm there were 12 customers in the store. You Answered At noon, there were 4 customers in the store. At 4:00 pm, the store closed. At 1pm there were 12 customers in the store. Question 2 1.67 / 1.67 pts Find the equation for the line with slope m=-1 passing through the point (− 12 ,−2) (−12,−2). y=−x−2 y=−x−2
Image of page 58

Subscribe to view the full document.

Correct! y=−x− 52 y=−x−52 y=− 12 x+2 y=−12x+2 y=−x+ 12 y=−x+12 y=2x+ 14 y=2x+14 y−y 1 y+2y+2y=m(x−x 1 )=− (x+ 12 )=−x−12=−x−52 y−y1=m(x−x1)y+2=−(x+12)y+2=−x−12y=−x−52 Question 3 1.66 / 1.66 pts Which of the following tables give a linear relationship between t and w?
Image of page 59
Image of page 60

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask 0 bonus questions You can ask 0 questions (0 expire soon) You can ask 0 questions (will expire )
Answers in as fast as 15 minutes