What does the Rate of Change refer to?
Slope
Is the following a function or not? Explain.
Function; each input has exactly one output. The x values do not repeat.
Linear or Nonlinear?
Nonlinear.
What is the value of y when x=2?
y=8x+1
y=17
Write an equation using the following:
m=-4 & b=7
y=-4x+7
What is the term for the value of "b" in the equation y = mx + b?
Y-Intercept
Is the following a function or not? Explain.
Not a Function; The 5 has more than one output value. An x value repeats.
Linear or Nonlinear?
Nonlinear.
What is the value of y when x=-2?
y=5x-3
y=-13
Tina babysits after school and charges a flat fee of $3, plus $5 per hour. Write and equation for the total cost C, after h hours.
C=5x + 3
What is a relation?
A relation is a set of ordered pairs.
Is the following a function or not? Explain.
(1, 2), (1, 3), (2, 4), (7,4) (3, 5)
Not a function; 1 had two output values. An x value repeats.
Linear or Nonlinear?
y = 7x2 - 3
Nonlinear.
What is the value of x when y=13?
y=4x+1
x=3
A candle is 8 inches tall and burns at the rate of 1/2 inch per hour. Write a linear equation in slope-intercept form to represent the situation.
y= -1/2x + 8
A function pairs each ouput (y) with ______ ____ input (x).
Only One
Is the following a function or not? Explain.
Function; Passes the Vertical Line Test.
Linear or Nonlinear?
Linear.
If f(x)=17x+168 find f(34).
f(34)=746
A boat rental service charges a $20 transportation fee and $15 each hour to rent a boat. Write an equation and solve it to find how much it would cost for him to rent the boat for 6 hours.
**don't forget your label**
$110
_____________ functions are functions whose rate of change is NOT _________ and therefore, their graphs are NOT a _________ line.
Nonlinear; constant; straight
Is the following a function or not? Explain.
(0,3), (7,4), (3,5), (8, 2), (7,4), (4,1)
**Really think about this one**
Function; Each input has exactly one output. (7,4) is just a repeated ordered pair.
Linear or Nonlinear?
Nonlinear
If f(x) = 4x+7, find x when f(x) = 47
x = 10
Ronald collected 125 pounds of cans to recycle and plans to collect an additional 25 pounds per week. Write and solve an equation to tell how many weeks it will take Ronald to collect 400 pounds of cans.
**don't forget your label**
11 weeks