Unit 6 Open Response (50 Points)



Unit 6 Open Response (50 Points)

Answer each of the following. If you are typing, be sure to save this in Rich Text Format, .rtf.

Making Consumer Choices

I. The Bread Machine (25 points)

In real life, you must often make choices about whether to buy something pre-made or make it yourself. There are many things to consider, like quality of homemade vs. store bought, expense, convenience, enjoyment of making something, etc. In this response, you will be looking at the choice of buying a bread machine or relying exclusively on store bought bread.

A. The bread machine you are interested in costs $100 with tax.

The ingredients to make one loaf of bread cost $0.80.

What is the rate of cost of one loaf of bread?

B. What is your start up cost (cost of machine)?

C. Write a linear equation for the total cost in form, y = mx + b.

D. Graph the equation on the graph provided. You may use point plotting or slope-intercept. Be sure to locate at least three points. You may want to do this in pencil in case you decide to use more points later in the problem.

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E. A loaf of bread of similar quality in the store costs $1.60. This is the rate for a loaf of bread (the slope). As there is no other cost, your beginning point (y-intercept) is zero. Write the linear equation, y = mx + b, for the total cost.

F. Graph the equation on the same graph you used in D. You may use point plotting or slope-intercept. Be sure to locate at least three points. You may want to do this in pencil in case you decide to use more points later in the problem.

G. Estimate the ordered pair, where the two lines cross, and write it here: (______, ______)

H. The x-value, where they cross, represents the number of loaves it will take to make the cost of the bread machine equal to buying bread. The y-value represents the cost when they are the same. Fill in:

It would take _________ loaves at a cost of $_________ for the breadmaker and store bought bread to cost the same.

I. Fill in the table below. You may want to go back and read the beginning for ideas. (And yes, if you like the way it smells when it bakes, that is an advantage.) Write down any point you can think of.

|Advantages of buying the machine |Advantages of buying at the store |

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J. Decision Time! Tell if you have decided to buy the bread machine. Give several reasons for your decision.

II. The Clothes Dryer (25 points)

Most families have to decide at some point whether or not to buy convenience items for the home. One of these items is clothes dryer. One must consider cost, convenience, repairs, time factors, etc., when deciding.

A. The electric clothes dryer you are interested in buying costs $300 with tax.

It uses $0.50 of electricity for one hour of drying.

What is the rate of electric use (slope)?

B. What is your beginning cost (y-intercept)?

C. Write this as a linear equation in y = mx + b form.

D. Fill in the table below by substituting the given values of x in the equation and solving for y. Let x = 0, 50, 100, 150, 200, 250, 300, 350, 400, 450, 500. (This is a horizontal T-Table.)

|X |0 |

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J. Decision Time! Tell if you have decided to buy the dryer. Give several reasons for your decision.

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