Lesson 2.2 Modeling Linear Function Part I
Presentation
•
Mathematics, Other
•
9th Grade
•
Easy
+1
Standards-aligned
Johnny Bien-Aime
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FREE Resource
8 Slides • 5 Questions
1
Lesson 2.2 Modeling Linear Function
Slope-intercept Form
2
Objectives
Understand that a linear function has a constant rate of change (slope)
Understand the meaning of x and y intercepts
3
4
5
Task 1
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days.
6
Task 2
Nathan's school is located 3 miles from his house. He is riding his scooter to school at a rate of 6 miles per hour. Write an equation to represent the problem situation.
7
Task 3
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.
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9
Multiple Choice
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Select the independent quantity in this problem situation.
Time (hours)
Price (dollars)
$3
$5
10
Multiple Choice
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Select the dependent quantity in this problem situation.
Time (hours)
Cost (dollars)
$3
$5
11
Multiple Choice
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. What is the slope? What is its meaning in the context of the problem?
$5
The cost of each hour of babysitting
$3
The initial fee for babysitting
12
Multiple Choice
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. What is the y-intercept? What is its meaning in the context of the problem?
$5
The price of each hour of babysitting
$3
The initial fee for babysitting
13
Open Ended
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.
Lesson 2.2 Modeling Linear Function
Slope-intercept Form
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