5 Minute Check Complete in your notes. MegaMart collects a sakes tax equal to 1/16 of the retail...
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5 Minute Check Complete in your notes. MegaMart collects a sakes tax equal to 1/16 of the retail price of each purchase. The tax is sent to the government. 1. Is the amount of tax collected proportional to the cost of an item before the tax is collected? Explain. 2. Is the amount of tax collected proportional to the cost of an item after tax has been added? Explain.
5 Minute Check Complete in your notes. MegaMart collects a sakes tax equal to 1/16 of the retail price of each purchase. The tax is sent to the government
5 Minute Check Complete in your notes. MegaMart collects a
sakes tax equal to 1/16 of the retail price of each purchase. The
tax is sent to the government. 1. Is the amount of tax collected
proportional to the cost of an item before the tax is collected?
Explain. 2. Is the amount of tax collected proportional to the cost
of an item after tax has been added? Explain.
Slide 2
5 Minute Check Complete in your notes. MegaMart collects a
sakes tax equal to 1/16 of the retail price of each purchase. The
tax is sent to the government. 1. Is the amount of tax collected
proportional to the cost of an item before the tax is collected?
Explain.
Slide 3
5 Minute Check Complete in your notes. MegaMart collects a
sakes tax equal to 1/16 of the retail price of each purchase. The
tax is sent to the government. 1. Is the amount of tax collected
proportional to the cost of an item before the tax is collected?
Explain.
Slide 4
5 Minute Check Complete in your notes. MegaMart collects a
sakes tax equal to 1/16 of the retail price of each purchase. The
tax is sent to the government. 2. Is the amount of tax collected
proportional to the cost of an item after tax has been added?
Explain.
Slide 5
5 Minute Check Complete in your notes. MegaMart collects a
sakes tax equal to 1/16 of the retail price of each purchase. The
tax is sent to the government. 2. Is the amount of tax collected
proportional to the cost of an item after tax has been added?
Explain.
Slide 6
Mid-Chapter Check
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Log onto my website and click on the Quia link to begin the
Chapter 7.1 quiz. Username is first name last name 371 (no spaces,
no capitals). Username is the proper name as used in Progress Book.
Password is the student ID. When complete, work on Accum Rev 9 or
Compass Learning.
Slide 22
Tuesday, Jan 13 Lesson 7.1.5/7.1.6 Graph and Solve Proportional
Relationships
Slide 23
Graph Proportional Relationships Objective: To identify
proportional relationships by graphing on the coordinate plane. You
will need your graph paper for todays lesson.
Slide 24
Graph Proportional Relationships Another way to determine
whether two quantities are proportional is to graph the quantities
on the coordinate plane. If the graph of the two quantities is a
straight line through the origin, then the two quantities are
proportional.
Slide 25
Graph Proportional Relationships The slowest animal on Earth is
the three sloth. It moves at a speed of 6 feet per minute.
Determine whether the number of feet the sloth moves is
proportional to the number of minutes it moves by graphing on the
coordinate plane. Explain your reasoning. Determining Proportions
by Graphing Step 1 Make a table.
Slide 26
Graph Proportional Relationships The slowest animal on Earth is
the three sloth. It moves at a speed of 6 feet per minute.
Determine whether the number of feet the sloth moves is
proportional to the number of minutes it moves by graphing on the
coordinate plane. Explain your reasoning. Determining Proportions
by Graphing Step 1 Make a table.
Slide 27
Graph Proportional Relationships The slowest animal on Earth is
the three sloth. It moves at a speed of 6 feet per minute.
Determine whether the number of feet the sloth moves is
proportional to the number of minutes it moves by graphing on the
coordinate plane. Explain your reasoning. Determining Proportions
by Graphing Step 2 Graph the coordinates.
Slide 28
Graph Proportional Relationships The slowest animal on Earth is
the three sloth. It moves at a speed of 6 feet per minute.
Determine whether the number of feet the sloth moves is
proportional to the number of minutes it moves by graphing on the
coordinate plane. Explain your reasoning. Determining Proportions
by Graphing Step 2 Graph the coordinates.
Slide 29
Graph Proportional Relationships The slowest animal on Earth is
the three sloth. It moves at a speed of 6 feet per minute.
Determine whether the number of feet the sloth moves is
proportional to the number of minutes it moves by graphing on the
coordinate plane. Explain your reasoning. If the graph is a
straight line and passes through the origin, it is proportional. Is
this graph proportional?
Slide 30
Graph Proportional Relationships James earns $5 an hour
babysitting. Determine whether the amount of money he earns is
proportional to the number of hours he babysits by graphing on the
coordinate plane. Explain your reasoning. Do this on your own.
Slide 31
Graph Proportional Relationships James earns $5 an hour
babysitting. Determine whether the amount of money he earns is
proportional to the number of hours he babysits by graphing on the
coordinate plane. Explain your reasoning. Since the graph is a
straight line and passes through the origin, the time-to- money is
proportional.
Slide 32
Graph Proportional Relationships Determine whether the number
of pizzas is proportional to the amount of cheese by graphing by on
the coordinate plane. Explain your reasoning. Do this on your
own.
Slide 33
Graph Proportional Relationships Determine whether the number
of pizzas is proportional to the amount of cheese by graphing by on
the coordinate plane. Explain your reasoning. (sometimes you may
need to extend the line to see if it passes through the origin)
Since the graph is a straight line and passes through the origin,
the pizzas-to- cheese is proportional.
Slide 34
Graph Proportional Relationships The cost of renting a video
game from Games, Inc is shown in the table. Determine whether the
cost is proportional to the numbers of games rented by graphing by
on the coordinate plane. Explain your reasoning. Do this on your
own.
Slide 35
Graph Proportional Relationships The cost of renting a video
game from Games, Inc is shown in the table. Determine whether the
cost is proportional to the numbers of games rented by graphing by
on the coordinate plane. Explain your reasoning. Since the graph is
a straight line but does not pass through the origin, the cost-to-
game is nonproportional.
Slide 36
Graph Proportional Relationships Which batting cage represents
a proportional relationship between the number of pitches thrown
and the cost? Explain your reasoning.
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Graph Proportional Relationships Which batting cage represents
a proportional relationship between the number of pitches thrown
and the cost? Explain your reasoning. Softball Plus is a straight
line, but does not pass through the origin. It is nonproportional.
Fun Center is a straight line, but does pass through the origin. It
is proportional.
Slide 38
Solve Proportional Relationships A proportion is an equation
stating two rates or ratios are equivalent.
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Solve Proportional Relationships A proportion is an equation
stating two rates or ratios are equivalent. Two rates or ratios are
equivalent if their cross products are equal.
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Solve Proportional Relationships Two rates or ratios are
equivalent if their cross products are equal. 6 4 = 24
Slide 41
Solve Proportional Relationships Two rates or ratios are
equivalent if their cross products are equal. 6 4 = 24 8 3 = 24
Since the cross products are equal, they are equivalent.
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Solve Proportional Relationships Is this a true statement? 4 2
5 3
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Solve Proportional Relationships Is this a true statement? 4 2
5 2 = 10 5 3 4 3 = 12 It is not a true statement
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Solve Proportional Relationships Is this a true statement? 7 10
9 13
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Solve Proportional Relationships Is this a true statement? 7 10
9 10 = 90 9 13 7 13 = 101 It is not a true statement
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Solve Proportional Relationships Is this a true statement? 12
40 15 50
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Solve Proportional Relationships Is this a true statement? 12
40 15 40 = 600 15 50 12 50 = 600 It is a true statement
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Solve Proportional Relationships Is this a true statement? 16
12 21 17
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Solve Proportional Relationships Is this a true statement? 16
12 21 12 = 252 21 17 16 17 = 272 It is not a true statement
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Solve Proportional Relationships
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After 2 hours, the air temperature had risen 6F. Write and
solve a proportion to find the amount of time it will take at this
rate for the temperature to rise an additional 15F. How do we solve
this?
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Solve Proportional Relationships
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If the ratio of Type O to non-Type O donors at a blood drive
was 37:43, how many donors would be Type O out of 300 donors? Do
this on your own.
Slide 60
Solve Proportional Relationships
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Agenda Notes Homework Homework Practice 7.1.5/7.1.6 Due
Wednesday, Jan 13 You can use your calculator on the homework.
Chapter 7.1 Test - Friday, Jan 16