Am I a function?
Equations
Standard Form
Word Problems
Slope Intercept
Word Problems
Interpretation Nation
100
What is the definition of a function?
Each input has exactly one output
100
slope=2/3 y-intercept=6
y=2/3x+6
100
Hollister has a sale going on. Jeans cost $25 and Sweaters cost $30. If you have $100 to spend, what would the equation be?
100=25j+30s
100
A teacher works 40 hours per day. How many hours will the teacher work in 90 days?
3600 hours
100
How do you find slope?
Find the rise over run (change in y over change in x).
200
The inputs represent what values?
x values
200
(-3,2) & (0,-1)
y= -x + -1
200
You are making a fruit salad and go to the supermarket to get apples and oranges. Apples cost $4 and Oranges cost $3. You have $20 to spend, and definitely need 4 apples. How many oranges can you buy? Write the equation and a solution.
4a+3o=20 1 orange
200
A lion eats 45 pounds per day. How many pounds will the lion each in 300 days?
13,500 pounds
200
How do you find your y-intercept?
Find the point where the line intersects the y-axis and use the y value of that ordered pair.
300
(5,1) (4,6) (3,-2) (4,0) (-3,0)
It is NOT a function
300
Through the points (1,1) and (2,-3)
y=-4x+5
300
Target has kids jeans on sale for $10 and and tops on sale for $8. If Mrs. Hobbs wants to spend $100 on Christmas clothes for her kids, what is the equation? If she needs to buy 4 pairs of jeans, how many tops can she buy?
10j+8t=100 7 tops.
300
A taxi trip costs an entrance fee of $5 plus $2 per mile traveled. How much will a taxi ride cost if you travel 50 miles?
$105
300
What is the slope if our table has these values: x: -3, 0, 3, 6 y: 3, 5, 7, 9
m = 2/3
400
(4,2) (0,2) (-4,-2) (1,0) (-1,0)
It is a function
400
through the point (0,5) and slope of 5
y= 5x + 5
400
Hailey sells jewelry at a craft show. She sells bracelets for $3.50 and necklaces for $5. She needs to sell $50 to make a profit. Write the equation. She already sold 5 bracelets, how many necklaces does she need to sell to make her quota.
3.5b+5n=50 7 bracelets
400
The amusement park charges an admission fee of $10 and each ride costs $3. How many rides can you go on if you have $100 in your pocket?
30 rides
400
Write a linear function for this table: x: 0, 1, 2, 4 y: 0, 3, 6, 12
y = 3x
500
(5,1) (4,3) (3,-2) (4,-2) (5,3)
It is NOT a function
500
through the point (1,1) and slope is 4
y= 4x - 3
500
Disney sells park tickets at different prices. Kids tickets are $95 and Adult tickets are $105. If you have $1000 to spend, and have 2 adults coming with you, how many kids can you bring?
95k+105a=1000 8 kids
500
You sell bracelets for $3.50 each and your materials cost $84. How many bracelets do you have to sell to "break even" (the cost of your materials equals your profit)?
24 bracelets
500
Write a linear function for this table: Miles walked x: 3, 6, 9, 12 Calories burned y: 600, 1200, 1800, 2400 Interpret the slope and y-intercept.
y = 200x Slope: You burn 200 calories per mile that you walk Y-intercept: Before you begin walking any miles, you have burned 0 calories
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