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2.5B Create an Equation, Table and Graph. In this lesson you will create an equation, table, and graph from a verbal representation . Let’s Review. Slope-intercept form: y = mx + b. Slope (rate of change). y -intercept (initial value). y = -1.5x + 2. Let’s Review. - PowerPoint PPT Presentation
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Let’s ReviewLet’s Review
2.5B Create an Equation, Table and Graph
In this lesson you will create an equation, table, and graph
from a verbal representation
Let’s ReviewLet’s Review
Slope-intercept form:y = mx + b
Slope(rate of change)
y-intercept(initial value)
y = -1.5x + 2
Let’s Review
Let’s ReviewLet’s ReviewA linear function has a constant rate of change
(slope) and an initial value (y-intercept).
y = 3x + 2
x y0 21 52 83 11
5 – 23
1 – 01
31
Let’s Review
Let’s ReviewCore Lesson
A wild animal park opens with 100 antelope and the population grows
by 5 antelope every year.y-interceptSlope
y = 100 + 5x
Example1:Create an equation, table, and graph from a verbal representation
Let’s ReviewCore Lesson
x (years) y (antelope)
0 1001 1052 1103 115
Y-intercept
51105 - 1001 – 0
y = + x100Slope = 5 1 =5 5
Example 1- continuedConstruct (write) a numeric representation from the verbal representation.
Let’s ReviewCore Lesson
Slope = 5y-intercept
y = + x 100
5
102
102
Example 1 continuedConstruct (write) a algebraic function from the graphic representation.
Example 2:Create an equation, table, and graph from a verbal representation.
Joan’s aunt agreed to loan Joan $500 to buy a used car as long as Joan pays back $50 per month.
Let’s ReviewCore LessonJoan’s Aunt agrees to loan Joan $500 to
buy a used car as long as Joan pays back $50
per month.
Slope “indicator”
slope = 50y-intercept = -500
y = 50x - 500
Let’s ReviewCore Lesson
x (months)
y (remaining debt)
0 -500
Joan’s Aunt agrees to loan Joan $500 to buy a used car as long as Joan pays
back $50 per month.
1 -4502 -4003 -350
-450 - -5001 - 0
y-intercept
50=
=1
slope
Let’s ReviewCore LessonJoan’s Aunt agrees to loan Joan $500 to buy a used car as long as Joan pays back $50 per month.
Let’s ReviewGuided PracticePractice Example 1:Linda begins the year with $200 in her bank account. Each month, she deposits $50. Create an equation, table, and graph from this verbal representation .
Let’s ReviewExtension ActivitiesPractice Example 2:A parachutist is 500 feet above the ground. After she opens her parachute, she falls at a constant rate of 25 feet per second.
Create the equation, table, and graph for the scenario.
Let’s ReviewGuided PracticePractice Example 3:Construct an algebraic equation using the graph provided below.
5
25
Let’s ReviewExtension Activities
Homework: Problems 1-9
Let’s ReviewExtension ActivitiesHomework Problem 1:Construct an algebraic equation for each of the given representations.
x y0 -115 -41
15 -10130 -191
Multiply x by 0.6 and add 7
a b
c
10
50
Let’s ReviewExtension ActivitiesHomework Problem 2:Write an algebraic equation for this scenario. Make a table to help before you write it.
Parking Lot Prices
Each hour . . . $1.50 Entrance fee . . . $3.00
Let’s ReviewQuick QuizHomework Problem 3
Jordan’s movie rental company charges a monthly fee of $5.00 plus an additional cost of $1.25 per movie rental. Which of these equations represents the total monthly cost (c) of renting (x) movies?
a) C = 1.25x + 5.00 b) C = 3.75x + 5.00 c) C = 5.00x + 1.25 d) C = 5.00x + 3.75
Let’s ReviewQuick Quiz
Homework Problem 4:Which is the graph of y = -3x + 5 ?
a
b
c
d
Let’s ReviewExtension ActivitiesHomework Problem 5
Match each equation to its table.y = -4x - 3 y = -3 + 4xy = -3x - 4
x y -4 8-2 2-1 -12 -10
x y -4 -19-2 -11-1 -72 5
x y -4 13-2 5-1 12 -11
Let’s ReviewQuick QuizHomework Problem 6
A restaurant charges $160 for a room and $10 per person for food and drinks. Which table is correct for this situation?
x y 0 $1503 $1806 $25010 $300
x y 0 $1603 $1706 $18010 $190
x y 1 $1603 $2106 $27010 $350
x y 0 $1603 $1906 $22010 $260
a b c d
Let’s ReviewQuick QuizHomework Problem 7 :
Another restaurant charges $150 for a room and $10 per person for food and drinks. Which is the correct graph?
a b c d
Let’s ReviewGuided PracticeHomework Problem 8:Thomas is 300 miles away from home. He drives 50 miles per hour.
Create an equation, table, and graph to represent this situation.
Let’s ReviewExtension ActivitiesHomework Problem 9: We had 15 inches of snow. It snowed at a rate of 5 inches per hour.
Create an equation, table, and graph for the scenario.