height of a ball 1. y-intercept: beginning value where graph crosses y-axis 2. x-intercept, zeros,...
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Height of a Ball
1. Y-intercept: Beginning value Where graph crosses y-axis 2. X-intercept, Zeros, Break-even point: Where graph crosses x-axis
3. f(2) : X-value is 3, find the y value
4. f(x) = 4: y value is 5 find the x value
5. Increasing: The x-values where the graph is going up
6. Decreasing: The y-value where the graph is going down
7. Maximum: ( , )
8. Minimum: ( , )
1. Y-intercept 2. Find Break-even point:
3. X-intercept
4. Find and interpret f(5) :
5. Find and interpret f(x) = 8:
6.Increasing:
7.Solve by the graph: 2x – 4 = 10
Profit from Sally’s Lemonade Stand
Profi
t ($)
Number of Glasses Sold
1. Initial Value: 2.Break-even point:
3. Find and interpret f(2) :
4. Find and interpret f(x) = 40:
5. Increasing:
6. Find and interpret the maximum:
7. When is -4x2 – 40x – 50 = 20?
Cost of Ticket ($)Pr
ofit (
Hun
dred
’s of
Dol
lars
)
Projected Profit of Concert Based on Ticket
Price
Cost of Cab Rides
Miles
Fare
($)
Company A
A(x) = x +
5
Com
pany
B
B(x)
= 3
x +
1
1. After how many miles will the companies be the same?
2. Explain when each company is a better value.
3.Find and interpret the y-intercept of A(x) and what does it mean?
4. Find and Interpret B(2)
5. When is 3x + 1 = 4?
6. When is 3x + 1 = x + 5
x y0 -21 02 23 44 65 8
1. Find and Intrepret Y-intercept 2. Find Break-even point:
3. X-intercept
4. Find and interpret f(5) :
5.Find and interpret f(x) = 6:
6.Solve by the table: 2x – 2 = 4
7. Write the NEXT-NOW equation
Profit of Selling Popcorn
Bags Profit
Y1=2x - 2
3) Find and interpret the y-intercept?________________________________
7) When is the graph increasing?____________________________
8) When is the graph decreasing?_____________________________
9) What is the maximum height?_____________________________
Stair Stories Climbed by Two Climbers
A(x) =(1/2)x + 5
B(x) =x +
2
Time (minutes)
Stor
ies
1. What time will they have climbed the same amount of stories?
2. How many stories will they have climbed?
3. Find and interpret the y-intercept of person A?
4. When x+2 = 4?
x y-1 -100 -71 -42 -13 24 5
1. Find and interpret y-intercept 2.Find and interpret Break-even point:
3.Find and interpret zeros
4.Find and interpret f(4) :
5.Find and interpret f(x) = -4:
6.Solve by the graph: 3x – 7 = 2
Profit of Selling Pompoms
# of Pompoms Profit
Y = 3x - 7
x 'L1 "L20 3 11 5 3.52 7 63 9 8.54 11 115 13 13.56 15 16
Delivery Charges of 2 Companies
A(x) B(x)
A(x) = 2x + 3B(x) = 2.5x + 1
1. After how many miles will the companies be the same?
2.Explain when each company is a better value.
3.Find and interpret the y-intercept of A(x) and what does it mean?
4. Find and Interpret B(2)
5. When is 2x + 3 = 2.5x + 1
6. When is 2x + 3 = 13?
7. Write the NEXT-NOW equation for B(x)
Year Millions of Cars in US1950 6 1955 7.81960 7.3 1965 10.3 1970 10.1 1975 10.8 1980 11.5 1985 15.4 1990 13.5 1995 15.5 2000 17.4 2005 16.9
1. Find and interpret f(1955)
2. Find and interpret f(x) = 17.4
3. When were there 11.5 million cars In the US?
Number of Starbucks Outlets
1. Find and interpret f(2000)
2. Find and interpret the y-intercept
3. Find and interpret f(x) = 10000
Starting Value Rate Increase or Decrease
Decimal multiply by NEXT=NOW Statement
1st 4 Numbers
$20,000 5% increase 100+5 = 105% =1.05Or 1(20,000) + .05(20,000)
Next=Now*1.05 starting at 20,00
$20,000 5 % decrease
$100 4% interest
95,000 3.5% increase
8,6,4.5,
Next = Now *1.095 starting at $1000
12,20,100/3
x 15% commission