Question

I need alot of help on a assignment can someone help me please

Answer 1

Post the question(s) in the replies and people will help if they can.

Answer 2

How long do you think it would take you to fill 1,200 juice bottles by hand? Modern machines in factories can fill up to 1,200 bottles per minute. Modern mass production depends on assembly lines using highly specialized machines and production techniques.

In this assessment, you will apply mathematics to analyze assembly line production. You will use graphs and equations to demonstrate work done on an assembly line. You will describe your methods and conclusions in a presentation submitted to your teacher.

If you are using a graphing utility from the Internet for this assessment, remember that each graph needs to be shown in your work. Please refer to the directions below for taking a screenshot.

Answer 3

Do the following for each function below.
a. State if y varies directly with x.
b. If y does vary directly with x, determine k, the variation constant.
c. Write the equation for the variation using the value k that you found.

1)
X Y
2 4
4 8
16 32

2)
X Y
27 9
30 10
60 20

3)
X Y
3 9
4 13
7 23

4)
X Y
-2 4
-3 6
-5 10

Answer 4

ACTIVITY 1: INVESTIGATING

Before a process can be done on an assembly line, the steps of the process must be identified. Identify a process that you are familiar with, such as making a sandwich or raking the leaves in your yard. Identify 3–5 steps that are required and give an estimate of the time it takes you to complete the entire process.

5) Complete the process you chose, timing yourself. In the space provided below, identify the process, including the 3-5 steps required for this process, and record the time it took you to complete the process.

Answer 5

ACTIVITY 2: GRAPHING

A juice-bottling machine fills 1,200 bottles per minute.

6) Construct an x|y chart. Let y represent the number of juice bottles filled and let x represent the time in minutes. Find and include at least three ordered pairs in your graph. Include the ordered pairs when x is 1 minute, 2 minutes, and 5 minutes.

7) Graph the result that you obtained above. Use units of 400 bottles for the y-axis.

Answer 6

ACTIVITY 3: INVESTIGATING


A different juice-bottling machine fills 800 bottles a minute.

9) Construct an x|y chart. Let y represent the number of juice bottles filled and let x represent the time in minutes. Find and include at least three ordered pairs in your graph. Include the ordered pairs when x is 1 minute, 20 minutes, and 60 minutes.

10) The domain for your function is 0 < x < 60 and the range is 0 < y < 48,000. Graph the number of bottles filled as a function of time that the machine runs. Assume that the machine runs for 60 minutes (one hour). Use units of 10 for the x-axis and units of 10,000 for the y-axis.

11) Write an equation for your graph.

Answer 7

For your first four, start by finding if y varies directly with x. For y to directly vary with x, the ratio y/x=k must always have the same value, for example if you had (5,10) and (3,6), either way you plug them in, you get 2, so y directly varies with x. Alternatively, if you have (1,3) and (2,4), you get 1/3 for k with your first point and 1/2 for k with your second point, so y does not directly vary with x. To find this, see if y1/x1=y2/x2. Using your first problem, you would do this by seeing if 4/2=8/4, which becomes 2=2. Because this is true, this set varies directly. If it varies directly, next you need to find k, which can be found using k=y/x. As you already did y/x, this should be easy. For #1, it would be k=4/2=2. Finally, you need to make an equation to show this relationship, which would be set up as y=kx. For #1, this would be y=2x.

Answer 8

For activity one, you just have to choose something you do often and write its steps. For activity two, you want to start by finding your k, which would be the rate in which the machine bottles juice. You would then want to make a chart showing your x's and y's, similar to the charts in 1-4, using your y=kx equation, with the time in minutes equaling x. Then you would want to graph it with the directions included in the problem.

Answer 9

For activity three, you would do it the same as activity two, except in your graph you would have to follow the domain and range restrictions. Your equation of the graph should be y=kx, as that is the equation used to find the x and y values.