1. Does the graph show a proportional relationship? Yes or No. HINT Next Slide Next Slide Remember that in order for a graph to be proportional, it’s points must form a straight line, and it must go through the origin.

2. Does the graph show a proportional relationship? Yes or No. Next Slide Next Slide

3. What is the constant of proportionality in the table? HINT Next Slide Next Slide Remember that we are able to find our constant by the fraction y/x. Our y-value is our numerator, while the corresponding x-value is our denominator. Be sure to reduce the fraction if possible in order to find the constant. Also remember when we are given a horizontal table, the top row represents our x and the bottom row represents our y.

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5. A student is choosing to make bracelets. Below is a table displaying how many bracelets can be made out of yards of cord that they have. Write a linear equation for the following table: HINT Next Slide Next Slide We write a linear equation by using the following: y = constant (x) (Be sure to substitute in the new variables that represent x and y in the given situation.) Also remember that we are able to find our constant by the fraction y/x. Our y-value is our numerator, while the corresponding x-value is our denominator. Be sure to reduce the fraction if possible in order to find the constant.

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7. Josh just bought a hot tub. He put the hose into it in order to fill it with water. After a half an hour, the tub was ¼ of the way full. At what rate is the tub filling? HINT Next Slide Next Slide Remember that unit rate is when we try to relate a quantity to one of another quantity. We tend to see the word ‘per’ show up. (Like when we talk about speed: miles per hour) This rate would be how much of the tub is filled per hour.

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9. Josh just bought a hot tub. He put the hose into it in order to fill it with water. After a half an hour, the tub was ¼ of the way full. Write an equation that represents the relationship between the number of tubs filled, y, in x hours. HINT Next Slide Next Slide Remember to use the constant that you found in the last question! Also remember how we write a linear equation: y = constant (x) Continued Question :

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11. Josh just bought a hot tub. He put the hose into it in order to fill it with water. After a half an hour, the tub was ¼ of the way full. How many tubs could Josh fill after 11 hours? (Write your answers as a mixed number) HINT Next Slide Next Slide Remember what your constant represents: How much of the hot tub can be filled per hour? Use that information to figure out how many tubs could be filled in 11 hours. Continued Question :

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13. HINT Next Slide Next Slide Try using a tape model. Draw 5 boxes, and then draw ½ of another box. How many actual feet are represented in each box? How many actual feet are represented in ½ of a box?

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15. If the scale of the drawing is 1 in : 8 ft, then what is the scale factor of the drawing? HINT Next Slide Next Slide In order to find the correct scale factor, you need to change the units so that they are the same. Right now you are comparing inches to feet. You need to compare inches to inches!! (Remember: 12 in = 1 ft )

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17. HINT Next Slide Next Slide Try using a tape model. Be sure to draw five boxes, and make sure that those five boxes represent the total original cost which is $175. Once you have split $175 up evenly amongst the five boxes, cross one of them out and add up the money you have left.

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19. HINT Next Slide Next Slide Try using a tape model. Be sure to draw three boxes, and understand that only two of them represent the $30 that makes up the sale price. Once you divide $30 up evenly amongst the two boxes, you will be able to see what all three boxes would add up to. When you add the three boxes up, you get your original price.

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21. Your friend wants you to help put a roof on his house, and gives you a blueprint of the area of the roof. HINT Next Slide Next Slide In order to find the correct scale factor, you need to change the units so that they are the same. Right now you are comparing inches to feet. You need to compare inches to inches!! (Remember: 12 in = 1 ft ) 3 in = 39 ft What is the scale factor?

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23. Your friend wants you to help put a roof on his house, and gives you a blueprint of the area of the roof. HINT Next Slide Next Slide Figure out: 1 in is equal to how many feet? Then use that to find out what 6 inches is equal to in feet, and what 8 inches is equal to in feet. 3 in = 39 ft If the dimensions of the driveway on the blueprint are 6 inches by 8 inches, what is the actual length and width of the roof? Continued Question :

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25. Your friend wants you to help put a roof on his house, and gives you a blueprint of the area of the roof. HINT Next Slide Next Slide Remember: It is ok to buy just a little bit more than is needed, than it is to not buy enough packages of shingles to finish the job! Use the actual dimensions of feet that you found in the last question to calculate the area of this roof. Remember: Area of a rectangle is equal to length times width: A = l x w 3 in = 39 ft One package of shingles will cover 250 sq. ft. of roof. How many packages of shingles do you need to buy in order to finish the project? Continued Question :

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27. Your friend wants you to help put a roof on his house, and gives you a blueprint of the area of the roof. HINT Next Slide Next Slide Unit rate is the same thing as our constant. They are asking how much of a package are you able to roof per (1) hour. 3 in = 39 ft After 15 minutes of roofing, you had used 1/5 of a package of shingles. What is the rate at which you are roofing per hour (unit rate)? Continued Question :

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29. Your friend wants you to help put a roof on his house, and gives you a blueprint of the area of the roof. HINT Next Slide Next Slide Our linear equation is represented by y = constant (x) Our constant is going to be the rate that you found in the previous slide. 3 in = 39 ft Write and equation that represents the relationship between the number of packages of shingles used, y, in x hours. Continued Question :