1. Warm up 1/30 1) Which of these ratios is not a rate: 60 words per minute, 12 cats to 32 dogs, $8 per hour, 35 miles per gallon 2) 52% of the television audience in the U.S. watched Super Bowl XXX. Write 52% as a fraction and a decimal. 3) ½ of my students are sweet!! Write ½ as a percent and a decimal.

2. Warm Up 2/1 Solve the following one-step inequalities and then graph them. 1)t – 5 ≤ 8 2)52 + y > 80 3)14x < 238 4)q ÷ 16 ≥ 108

3. Direct Variation… Where graphing and tables play a big role!

4. Direct variation A direct variation is the relation between 2 quantities whose ratio remains constant. Therefore the will always be a constant.

5. X and Y X is the independent variable because it is the input. Y is the dependent variable because it is always the output value

6. K is the constant “ k represents the constant of proportionality” as x and y values change, this stay the same When one variable increases, the other variable increases.

7. K notes When y values are bigger than your x values then your k is a whole number When y values are smaller than your x values then your k is either a fraction or a decimal.

8. Practice using tables y = 9x x02358 y

9. Practice using tables y = 12x x1612 y48120

10. Practice using tables y = 1.25x x02468 y

11. Practice using tables y = 2/5x x04920 y4

12. Now lets make the rule based on the table Y= ???? What is the constant?? What is the one thing not changing… it is not the x or y! x01234 y05101520

13. Now lets make the rule based on the table Y= ???? What is the constant?? What is the one thing not changing… it is not the x or y! x09122127 y03479

14. Maddie is purchasing tickets to a Justin Bieber concert. Tickets cost 35 a piece. Since tickets cost $35, that is the _______, because this won’t change!! X is the input (or independent variable) and this is the number of tickets purchased Y is the output or dependent variable and this it the _______ cost. Rule: y =35x X (# tickets) 0236 Y

15. Kevin is saving up for a new Tony Hawk game for his Wii. He earns $7.50 for each chore he does. What is k, the constant? __________________________________ ___ X, the input, is the number of chores Kevin completes. Y, the output, is the amount of money Kevin makes. What is the equation? _________________ What would the table look like….

16. X (# chores completed) 02101520 Y (total money earned) The table to show y=kx

17. There are 37 boys in the drama club. They want to buy new props, so they are all going to pitch in some money. They all want to pitch in the same amount. K, the constant, is 37. This number is not going to change. The amount that each boy brings in is the input, or the _________ value. The total amount raised is the output, or the _____ value. What is the equation? _____________________ NOW MAKE A TABLE

18. The table to show y=kx X (amount each boy brings) 023510 Y (total amount raised)

19. Let’s create a table and graph