What is standard form? (linear functions)
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
J Neff
Used 1+ times
FREE Resource
7 Slides • 7 Questions
1
2
Multiple Choice
A bike rental company charges a nonrefundable deposit of $15 for a bike rental plus $5 for every day of the rental, where each portion of a day is rounded to a full day. A rental can last for no less than 1 day and no more than 2 weeks, and f(x) represents the total cost of the rental, where x represents the number of days the rental lasts.
What is the appropriate domain for the situation, when graphed on a coordinate plane?
20≤x≤85
{20, 25, 30, 35, 40, 45, 50,
55, 60, 65, 70, 75, 80, 85}
{1, 2, 3, 4, 5, 6, 7, 8,
9, 10, 11, 12, 13, 14}
1≤x≤14
3
Fill in the Blanks
An artist spends 15 hours creating a painting that is sold by a gallery owner for $700. The gallery owner wants to make a profit of at least $250 and plans to pay the artist x dollars per hour the artist spent creating the painting.
The inequality x≤q represents th possible dollars per hour the gallery owner can pay the artist. What is the value of q?
Type answer...
4
Key Features of Linear
Functions in Standard Form
What is Standard Form?
5
What is Standard Form?
Standard form of a linear function is
A, B, and C are all integers.
Example: 2x + 3y = 12
6
Match
Question: Can you identify which part of 4x - 2y = 8 represents A, B, and C?
A
B
C
4
-2
8
4
-2
8
7
What is the X-Intercept?
●X-intercept is where the line crosses the x-axis
●To find it, set y = 0 and solve for x
8
Fill in the Blanks
In the equation 3x+2y=12 , what is the x-intercept?
Type answer...
9
What is the Y-Intercept?
●Y-intercept is where the line crosses the y-axis
●To find it, set x = 0 and solve for y
The formula for y-intercept is:
10
Fill in the Blanks
For the equation 4x−5y=20 , what it the y-intercept?
Type answer...
11
What is the Slope?
Slope represents the steepness of the line
12
Fill in the Blanks
What is the slope of the line 6x+3y=18
Type answer...
13
How to Graph?
●Find x and y intercepts
●Plot these points on the coordinate plane
●Connect the points with a straight line
14
Graphing
If a line has an x-intercept of (4,0) and a y-intercept of (0,3), can you sketch this line?
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