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1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through...

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NEGATIVE SLOPES Day 6
18
1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up
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Page 1: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

1. Write an equation of a line through (2,3) and (-3, 7)

2. Write and equation of a line through (4,8) and (4, 2)

Warm Up

Page 2: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

Homework Please feel free to ask me questions

concerning the Homework!!

Remember: Tutorials ~ Monday And Thursday

1st half of lunch Additional Meeting Times Upon

Request

Page 3: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

NEGATIVE SLOPESDay 6

Page 4: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

Quick Review Graded for accuracy…

Page 5: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

Negative Slopes

Let’s learn all about Negative Slopes !!

Make sure to have out graph paper, calculator, pencil and notebook/binder for notes

Page 6: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

On what intervals is the slope negative? What is the velocity on these intervals?

Page 7: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

On what intervals is the slope negative? What is the velocity on these intervals?

Negative slope = -2 mi/minNegative slope

= -0.5 mi/min

Negative slope = -3 mi/min

Page 8: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

Find the errors in this story…According to the Graph on the left. How should the story be corrected? Is the Original Story a lie? Story time – correct the errors:

In my search for corn muffins, I ran toward Watson’s house pretty fast for a while, then I took a break for 6 minutes. I realized I needed to go home, so I started at a slow pace (with velocity of 2 blocks/minute) , then got faster, but turned around. From there I quickly ran a block past Billy’s house, then ran home really fast.

Page 9: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

Story time – correct the errors:In my search for corn muffins, I ran toward

Watson’s house really fast for a while, then I took a break for 6 minutes. I realized I needed to go home, so I started at a slow pace (with velocity of 2 blocks/minute) , then got faster, but turned around. From there I quickly ran a block past Billy’s house, then ran home really fast.

Page 10: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

Negative Slopes

Classwork Handout 3-6

Page 11: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

Buying on Credit…please take notes on a piece of Graph Paper

Electric Avenue sells audio/video, computer, and entertainment products. The store offers 0% interest for 12 months on purchases made using an Electric Avenue store credit card.

 Emily purchases a television for $580 using an

electric Avenue store credit card. Suppose she pays the minimum monthly payment of $25 each month for the first 12 months. Copy & complete the following chart:

Number of monthly payments

0 1 2 3 4 5 6

Account Balance (in dollars)

Page 12: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

Electric Avenue sells audio/video, computer, and entertainment products. The store offers 0% interest for 12 months on purchases made using an Electric Avenue store credit card.

 1. Emily purchases a television for $580 using an

electric Avenue store credit card. Suppose she pays the minimum monthly payment of $25 each month for the first 12 months. Copy & complete the following chart:

Number of monthly payments

0 1 2 3 4 5 6

Account Balance (in dollars)

580 555 530 505 480 455 430

Buying on Credit…please continue to take notes on a piece of Graph Paper

Page 13: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

Let’s make a graph of our

data…be sure to place scale

on x and y axis…it will be

TALL!!Number of monthly payments

0 1 2 3 4 5 6

Account Balance (in dollars)

580 555 530 505 480 455 430

Page 14: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

1. Will Emily pay off the balance within 12 months? How do you know?

2. If you know Emily’s account balance NOW, how can you calculate the NEXT account balance, after a monthly payment?

3. Which of the following function rules gives Emily’s account balance E after m monthly payments have been made?

E = 25m – 580 E = m – 25E = -25 + 580 E = 580 + 25m

E = 580 - 25m

Buying on Credit…Questions Part One

Page 15: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

1. Will Emily pay off the balance within 12 months? How do you know?

Nope – she’ll pay $25x12 = $3002. If you know Emily’s account balance NOW, how can

you calculate the NEXT account balance, after a monthly payment?

next = now - $253. Which of the following function rules gives Emily’s

account balance E after m monthly payments have been made?

E = 25m – 580 E = m – 25E = -25 + 580 E = 580 + 25m

E = 580 - 25m

Buying on Credit…Question Answers Part One

Page 16: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

5. Determine the rate of change, including units, in the account balance as the number of monthly payments increases from:0 to 2;2 to 3;3 to 6;

7. How does the rate of change reflect the fact that the account balance decreases as the number of monthly payments increases?

ii. How can the rate of change be seen in the graph from Part a?

iii.In the function rule(s) you selected in Part c?

Buying on Credit…Questions Part Two

Page 17: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

5. Determine the rate of change, including units, in the account balance as the number of monthly payments increases from:0 to 2; -50/2 = -$25/month2 to 3; -25/1 = -$25/month3 to 6; -75/3 = -$25/month

7. How does the rate of change reflect the fact that the account balance decreases as the number of monthly payments increases?

it’s NEGATIVE!!!ii. How can the rate of change be seen in the graph

from Part a? slope = -$25/month

iii.In the function rule(s) you selected in Part c?slope = -$25/month

Buying on Credit…Question Answers Part 2

Page 18: 1. Write an equation of a line through (2,3) and (-3, 7) 2. Write and equation of a line through (4,8) and (4, 2) Warm Up.

Important Homework Information Homework 3-6 Come to Tutorial!

Mondays AND

Thursdays 1st half of Lunch!

UNIT 3 TEST is this Friday, October 2nd! Study, Study, Study!!


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