Rate Of Change
Initial Value
Tables->
Functions
Functions
Equations
Fill In the Blank
100
What does "rate of change" mean in a linear relationship?
Slope, Rise Over Run, "m" etc.
100
What is the initial value of a linear function?
y-intercept, "b"
100
Is this a linear function?
Yes
100
A movie ticket costs $6. Write an equation representing the relationship.
y = mx
y = 6x
100
y = 5x + ___. If the graph crosses at (0, 8), what goes in the blank?
8 or b=8
200
A car travels 60 miles in 2 hours. What is the rate of change?
30 mph
200
In the equation, y = 4x +7
7 or b=7
200
Find the rate of change from this table
m=3
200
A phone plan charges $30 initial fee plus $10 per month. Write an equation representing the relationship.
y = 10x + 30
200
y = ___x + 4. If slope is 3, what goes in the blank?
3 or m=3
300
What is the rate of change for this table?
3
300
A Gym Charges $15 per month, and has a sign up fee of $40. What is the initial value?
$40
300
What is the initial value from this table?
5
300
A bike rental costs $15 to reserve the bike, and $4 per hour. What is the initial value?
b = 15
300
A line passes through (0, 2) and (3, 11). The slope of the line is ___.
Fill in the blank.
slope is 3. m=3
400
Between the points (2,5) and (4,9) what is the rate of change?
2
400
What is the initial value?
8
400
Is this function linear or nonlinear?
non-linear
400
Write an equation for:
"starts with 50 points and loses 3 points per round"
y = -3x +50
400
If y = 2x + b and the point (4, 10) is on the line, the "b" value would be ___. Fill in the blank!
2. or b= 2
500
What is the rate of change for this graph?
1/5 or m = 1/5
500
A point (2, 7) exists on a line. The slope of the line is -2. What is the initial value of the line?
b=11 (initial value is the same as y- intercept)
500
Write the equation for the table:
y = mx + b
y = 4x + 3
500
Explain what the slope and y-intercept mean in this situation:
"a taxi charges $5 to start a ride, and $2 per mile"
Slope: $2 cost for every mile the taxi travels.
y-intercept: $5 to just get in the taxi. Initial value.
500
The slope of a line is -3. A point on the line is (0, 12). A function that represents this would be _____________.
Fill in the blank.
y = -3x + 12