Quick Start Expectations 1 Fill in planner and

Quick Start Expectations 1. Fill in planner and HWRS HW: Pg. 38 -51 #5, 7, 11 -14 2. Get a signature on HWRS 3. On desk: journal, calculator, textbook, vocab toolkit 4. Warm Up: X Y Is this a linear relationship? If so, find the slope, yintercept, and write the equation. If not, explain why it is not linear. -2 1 0 5 3 11 5 15 HINT: What happens when X goes up by 1?

Warm-up Is this a linear relationship? If so, find the slope, y-intercept, and write the equation. If not, explain why it is not linear. X Y -2 1 0 5 3 11 5 15 Yes, this is a linear relationship. As x goes up by 1, y goes up by 2. m=2 b=5 y = 2 x +5

Mighty y = 49 + x or y = x + 49 b = $49 initial fee m = $1 cost per shirt No-Shrink y = 4. 5 x or y = 4. 5 x + 0 b = $0 initial fee m = $4. 50 cost per shirt

Mighty No-Shrink y = 49 + x or y = x + 49 y = 4. 5 x or y = 4. 5 x + 0 x = 20 y = 49 + 20 = $69 y = 4. 5 x 20 = $90

Mighty No-Shrink y = 49 + x or y = x + 49 y = 4. 5 x or y = 4. 5 x + 0 y = 120 120 = 49 + x 120 – 49 = x x = 71 t-shirts 120 = 4. 5 x 120/4. 5 = x x is about 26 t-shirts

Make a Table! If I need to buy more than 14 shirts, Mighty is the better deal. If I need to buy less than 14 shirts, No-Shrink is the better deal. Week (x) Mighty Cost (y) No- Shrink Cost (y) 0 5 10 15 14 $49 $54 $59 $64 $63 $0 $22. 50 $45 $67. 50 $63 What is the vocabulary word for when the costs are equal? The break-even point or the point of intersection!

It is a linear relationship because each company is charging the same rate per t-shirt. Mighty charges $1 per shirt and No. Shrink charges $4. 50 per shirt. Mighty Tee: as n increases by 1, the cost increases by $1 No-Shrink Tee: as n increases by 1, the cost increases by $4. 50

The cost per T-shirt for this company is $2. 50. The down payment , for no shirts, is $34. This cost is less per T-shirt than No-Shrink, but greater than Mighty. Yes, it is a linear relationship! As the number of t-shirts increases by 1, the cost increases by $2. 50.

Yes, (20, 84) lies on this graph. If you extend the table to n = 20, then C = $84. Or you can substitute the x and y into the equation! The 20 means that if you buy 20 T-shirts it will cost $84. You can substitute the coordinates into the equation to make a true statement.

C = 34 + 2. 50 n