Warm-Up/Final Exam Review Khan Academy Practice: Interpreting Graphs of Linear & Non-Linear Functions Linear Equation Applications Class Work Today:
Warm-Up/Final Exam Review Khan Academy Practice:
Interpreting Graphs of Linear & Non-Linear Functions
Linear Equation Applications Class Work
Today:
Warm-Up:
5. Solve: 12x - (6 + 8x) = ½(6x - 10)
2. Mike, Dave, and Henry share $900 in ransom money in the ratio of 1:2:3. How much does each receive?3. 33/7 + (-2 3/8) 4. If you do something 99.9% of the time, how
many times do you do that thing for each time you do not?
1. Simplify:
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Linear/ Nonlinear
Given this,
what are the x and y axes?
faster 1
67twice
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4 2
1 30
Your Journey begins here, at the 6000 ft. level.
Soon, you begin your descent down the mountain. After 5 hours, you are here.What is your rate of change in
elevation? (The slope of your descent.)
The rate should be in ft./hr.
Rate of Change/Slope: Slope is usually represented by the letter m (from the French, monter, which means “to go up”).
500ft./hr.
1. What are the x and y intercepts of: -x – 4 = y:
Test Review:
( -4,0) (0,-4) ( , ) ( , )
What is the y-intercept?
Grand Prix Go-Carts: Which graph shows the prices listed?
Test Review:
Test Review:
A
BC
D E
The local park offers 2 different payment options. Option A costs $5 to enter and $3.50 per ride. Option B costs $13 to enter and $1.50 per ride.
1. What is the y-intercept for Option A? For Option B?2. What is the slope for A? For B?3.Option B is a better choice if you plan on riding more than how many rides?
Label the x and y axes
0
Graph both options (plot points)for the cost of entrance and 1-5 rides, then answer the following questions.
Graph Paper
Make a table, if necessary
As x increases by 30, y increases by 20, so the slope of the line is or .
2030
23
What is slope at beginning of ride?
What is y-intercept?
A roller coaster starts by ascending 20 ft. for every 30 ft. it moves forward. The coaster starts at a point 18 feet above the ground.
Continued
Lastly,Graph Paper,
Pls.
First (always), determine the independent & dependent variables
The line passes through the point (0, 18).
y – y1 = m(x – x1)The equation of the line the roller coaster travels
along, in point-slope form, is y – 18 = x. Substitute 150 for x to find the value of y.
23
y – 18 = (150)
23 y – 18 =
100
y – 18 = (x – 0)
23
y = 118The value of y is 118, so the roller coaster will
be at a height of 118 feet after traveling 150 feet forward.
Point-Slope FormWrite the equation of the line that the roller coaster travels along in point-slope form, and use it to determine the height of the coaster after traveling in a straight line 150 feet forward. 2
3The Y-intercept (beginning of ride) is (0,18). The slope is
Class Work 2.12;
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