Write an Equation
Slope
Interpret the Equation
Functions
Mixed Bag
100
You rent a bicycle for $20 plus $2 per hour.
y = 2x + 20
100
What is the slope formula if you are given two points?
100
The function below shows the one-time admission fee into the fair and the cost for every ride.
y = 5 + 1.75x
What is the slope, and what does it mean?
The slope is 1.75. It is the cost per ride.
100
Is this a function?
No (one input has more than 1 output)
100
Solve for y when x=2
y = 1/2x + 6
y = 7
200
An auto repair shop charges $50 plus $25 per hour.
y = 25x +50
200
How do you easily find the slope using a graph?
The slope is the rise over the run.
200
The function below shows the cost of a hamburger with the charge for each additional topping.
y = 1.90 + 1.40x
What is the slope, and what does it mean?
The slope is 1.4, it means that each topping costs $1.40
200
(4, 2), (3, 1), (5, 7), (4, 0), (9, 1)
Do these ordered pairs represent a function? Explain your reasoning.
Not a function. Input value 4 is paired with more than 1 output
200
119 degrees
300
The temperature is 15° and is expected to fall 2° each hour during the night.
y = -2x +15
300
If slope is -2 and y-intercept is 1, what is the equation? (slope intercept form)
y = -2x + 1
300
Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below is the relationship between y and x.
y = 3x + 10
What does the y-intercept of this equation represent?
Rich pays $10 per month just to belong to the gym.
300
(2, 2), (3, 1), (5, 7), (8, 0), (9, 1)
Do these ordered pairs represent a function? Explain your reasoning.
Yes, each input value is paired with only one output value.
300
What is the perimeter of a square whose side length is 2x + 3 inches?
8x + 12 inches
400
A candle is 6 inches tall and burns at a rate of 1/2 inch per hour.
y = -1/2x +6
400
Find the slope. (5, 2) (10, 3)
1/5
400
Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the amount Charlie will pay for using the truck for one day.
y = 0.5x + 10
What does the slope of this equation represent?
Charlie pays 50 cents for every mile the truck is driven.
400
Write a function rule for "The output is ten less than the input."
y = x - 10
400
Mrs. Rossi wants to buy a purse that costs $120. She has a coupon that saves 20%. What is the final price she will have to pay?
$96
500
A computer battery loses 22% power for every hour it is used.
(Hint: A percent is a fraction or a decimal)
y = -.22x or
y = -11/50x
500
y = 3/2x -2
What is the slope? What is the y-intercept?
Slope = 3/2
Y-intercept = -2
500
The equation below shows the number of newspapers delivered (x) and total pay (y) in dollars for Leona’s newspaper delivery job.
y = 1/4x
What does the slope of this graph represent?
For every 4 newspapers Leona delivers, she receives $1 in pay.
500
Write a function rule for “The output is the square of the input.”
y = x2
500
What is the area of a square whose side length is 3x inches?
9x2 inches