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Stella needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $59 for parts. The total was $359. Which tape diagram could be used to represent the context if xx represents the cost of labor per hour?

Question

Stella needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her 59forparts.Thetotalwas59 for parts. The total was 359. Which tape diagram could be used to represent the context if xx represents the cost of labor per hour?

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Solution

The tape diagram would be divided into 5 sections. Four of these sections would represent the 4 hours of labor, each labeled as "x" to represent the cost of labor per hour. The fifth section would represent the cost of parts, which is a fixed cost of $59.

So, the tape diagram would look something like this:

| x | x | x | x | 59 |

This diagram shows that the total cost of 359ismadeupofthecostof4hoursoflabor(4x)andthecostofparts(359 is made up of the cost of 4 hours of labor (4x) and the cost of parts (59).

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Estella decides to set up a lemonade stand on a hot summer day. Before long, Estella’s friends all decide they would like to help. The table below shows what happens to the number of glasses of lemonade Estella and her friends can make in an hour. a. Graph the relationship between the amount of labor used to make lemonade and the amount of lemonade that can be produced each hour. Instructions: Use the tool provided “Total Product” to plot the line point by point, starting with 1 worker (5 points total).  Instructions: Enter your answer as a whole number. If you are entering a negative number include a minus sign. Lemonade Stand's Labor and Production LevelsLabor (workers) Total Product Average Product Marginal Product0 0 - -1 (Estella) 9 2 18 3 24 4 28 5 25 b. Complete the average product and marginal product columns in the table above. c. Graph the marginal product and average product curves from the data in the table. Instructions: Use the tools provided “Average Product” and “Marginal Product” to plot each curve point by point, starting with one worker (total of 5 points for each curve). d. How many additional glasses of lemonade can Estella produce if she has one friend help her make lemonade instead of making lemonade by herself?       glasses e. Suppose that Estella was making lemonade alongside three friends and decides to invite an additional friend to help. How many additional glasses of lemonade can Estella and her four friends produce?       glasses f. If Estella has four friends help her, on average how many glasses of lemonade can each her and her friends make per hour?       glasses

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