Linear Functions
When asked about a function's rate of change, we are finding the what?
Slope.
Y-intercept
The point at which two linear functions intersect on a graph.
Solution
A relation where each x-value is paired with only one y-value.
A function
How do we identify rate of change when given a y=mx+b linear equation?
The number in front of the variable.
How do we identify the initial value when given a y=mx+b linear equation?
The number that is by itself, not with the variable. Also known as the value of b
To find the solution to a system, we must graph the linear function. What is the first step in graphing a y=mx+b linear equation?
Plot the y-intercept on the y-axis
Non-perfect squares, pi, and non-terminating/non-repeating decimals are all this type of number.
Irrational
The formula that we use to find rate of change from a table of values.
change in y over change in x
The function y = 12 - 0.5x represents the number of incomplete iXL lessons, y, that a student has remaining on their snowflake x number of days into the challenge.
Interpret the meaning of the slope for the function.
A student completes 0.5 lessons per day of the challenge.
After plotting the y-intercept, you use the slope to count what?
Rise over Run
67 * 6x = 621
What is the value of x?
14
A car dealership pays their salespeople a base salary plus commission for each car sold. The following chart shows the total amount earned in a month for selling x number of cars:
Cars Sold Income
2 $1,900
4 $2,550
What is the dealerships commission rate per car sold?
$325 per car sold.
In the linear function f(x) = -2 x + 13, what is the value of f(4) ?
5
y = 2x + 1
y = -x + 4
(1, 3)
Rotate the point (12, 8) 180 degrees counterclockwise and then dilate by a scale factor of 1/4.
(-3, -2)
Two 4-wheeler companies charge a deposit fee plus a rate per hour to rent a 4-wheeler. Company A charges a $30 deposit fee and $17 per hour. Company B uses the following chart to show total price for x hours.
Hours Rent Price
6 $130
9 $196
Which company charges more per hour and how much more?
Company B; $5 more per hour
The function y = 12 - 0.5x represents the number of incomplete iXL lessons, y, that a student has remaining on their snowflake x number of days into the challenge.
What is the meaning of the y-intercept?
The initial amount of incomplete lessons is 12.
12 lessons remaining after 0 days.
Determine the value of x + y for the solution to the following system of equations:
y = 1/2x + 1
y = 2x - 5
7
The function y = 12 - 0.5x represents the number of incomplete iXL lessons, y, that a student has remaining on their snowflake x number of days into the challenge.
Interpret the meaning of the slope for the function.
A student completes 0.5 lessons per day of the challenge.
Angle A and Angle B are Supplementary. Angle A's measure is 4x degrees. The measure of Angle B is x degrees. Find the value of x.
36