I need help with this portfolio and I was wondering if someone could help me understand it.

Task 1
Volume and surface area are often compared by manufacturers in order to
maximize how much of something can go inside of a package (volume) while
keeping how much material is required to create the package (surface area) low.
Pick a product that might be packaged in the shape of a rectangular prism. A
rectangular prism has three dimensions: length, width, and height. The surface
area of a rectangular prism can be found using the formula SA = 2lw + 2wh + 2lh.
The volume of a rectangular prism can be found using the formula V = lwh. Write
an expression for the ratio of surface area to volume for the figure.
Choose an appropriate length, width, and height for your package so that it can fit
the product you are shipping. Using these dimensions, what is the ratio of surface
area to volume?
Task 2
John, Rick, and Molli paint a room together.
a. Pick a reasonable amount of time in which the three friends can paint the
room together. Also pick a reasonable amount of time in which John can
paint the room alone and a reasonable amount of time in which Rick can
paint the room alone.
b. What is the hourly rate for John, Rick, and Molli (when working
together)? Use rooms per hour as the unit for your rates.
c. What is the hourly rate for John? What is the hourly rate for Rick? Refer
to the amount of time you determined in which John and Rick can paint
the room alone. Use rooms per hour as the unit for your rates.
d. Write an equation comparing the group rate to the sum of the individual
rates. How should the group rate and the sum of the individual parts
compare? Use parts (b) and (c) to help you write the equation.
e. What is the least common denominator for the equation you found in part (c)?
f. Solve the equation and determine how long it will take Molli to paint the
room alone.
Task 3
Suppose you are having a birthday party at the local bowling alley. You are trying
to figure out how many people you can afford to invite.
a. The number of guests you can invite to your party varies inversely with the
price per bowler at the alley. Explain what this means.
b. How much money are you willing to spend to host this bowling party?
c. Set up an equation that shows the inverse relationship between the number
of guests at your party and the price per bowler. Your answer to part (b)
should be part of this equation.
d. Research two local bowling alleys. Record the price per bowler at each of
these two alleys.
Calculate how many guests you will be able to invite to your party at each of the
bowling alleys. Which alley would you choose for your party? Why?

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Why do you have to use estimation to find the number of triangles you need for the string? I was wondering why this question is quite confusing and i was wondering if you can explain it to me in a way i can understand it. I'm not

  2. investing

    You have a $ 2 million portfolio consisting of $100,000 investment in each of 20 different stocks. The portfolio has a beta of 1.1. You are considering selling $100,000 worth one stock with a beta of 0.9 and using the proceeds to


    a brokerage house offers three stock portfolios. portfolio a consists of 2 blocks of common stock and 1 municipal bond. portfolio ii consists of 4 blocks of common stock, 2 municipal bonds, and 3 blocks of preferred stock.

  4. Investing ( pease help)

    You hold a diversified $ 100,000 portfolio consisting of 20 stocks with 5000 invested in each . The portfolio's beta is 1.12. You plan to sell a stock with b=0.90 and use the proceeds to buy a new stock with b=1.75. what will the

  1. Bree

    Can someone help me answer this for my portfolio for the Citizenship and the Constitution portfolio? Compose a general introduction about the concept of American citizenship and democracy.

  2. Physical education

    I know it might be a bit much to ask but does anyone know how to do the ‘heart rate portfolio’ for connexus 1.2.8-portfolio item: heart rate I think I was supposed to do exercises but I was very busy with my other classes I

  3. Math?

    I have to do this portfolio and I have read back and can’t find what I am suppose to be writing or doing help!! Misleading Media Watchdog Portfolio 6th grade

  4. Social Studies

    Can anyone help with this three column chart for a portfolio on connexus(7th Grade) Influential civilizations portfolio.

  1. MATH 12

    Kalpna opened this portfolio 4 years ago. - A $8500 fund that earns 5.45%, compounded annually - Monthly deposits of $200 into an account earning 3%, compounded monthly a) What will be the portfolio's value in 30 years when Kalpna

  2. Finance

    You would like to create a portfolio that is equally invested in a risk-free asset and two stocks. The one stock has a beta of .80. What does the beta of the second stock have to be if you want the portfolio risk to equal that of

  3. mathematics

    Portfolio Item: Cool Crafts Portfolio Why do you have to use estimation to find the number of triangles you need for the string? Banner Length: 60

  4. math

    has anyone done the transforming equations portfolio for 8th grade connexus? i need help, and my teachers aren't responding. i don't understand the portfolio at all. HELP! I'm not asking for someone to do it, i just need help,

You can view more similar questions or ask a new question.