Linear Functions
What is a linear function?
A function that can be represented by a straight line on a graph.
What is a function?
A relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.
What does the initial value of the function y = 42x + 65 represent in the context of the electrician's pay?
The amount the electrician earns for visiting the house.
What is the slope of the line that passes through the points (10,20 ) and (30,40 )?
2
What is the name of the famous mathematician who is credited with discovering the Pythagorean theorem?
Pythagoras
True or False: Two linear functions can intersect at more than one point.
True
Does the equation y = x(4 - x) + 1 represent a linear function?
No, because the points do not fall on a straight line.
In the equation y = 10x + 45, what does the rate of change represent in the context of swim classes?
In the equation y = 10x + 45, what does the rate of change represent in the context of swim classes?
Sarah reads at a steady rate of 26 pages per hour. Fatima reads at a steady rate shown in the table.If her output is 260 pages, what is her input?
10
What is the value of pi to two decimal places?
3.14
What is the slope of the line that passes through the points (6, 27) and (14, 47)?
2.5
Does the table represent a function?
x 6 6 6 6 6
y 0 1 2 3 4
No, because a function cannot have the same input for different outputs.
Which graph shows a function increasing at a varying rate?
Graph D
Write a qualitative description of the function shown in the graph.
Starts above 0 degrees and stays at a horizontal, then the temperature increases at varying rate, then stops and decreases rapidly at a constant rate
What is the next number in the Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, __?
13
What is the equation of the linear function that passes through the points (6, 27) and (14, 47)?
y = 2.5x + 12
Javier goes to a football game. He pays $5 for a ticket and $2 per item at the concession stand. Is the total cost a function of the number of items purchased?
Yes.
An electrician is paid $42 per hour plus a $65 visit fee. How much does the electrician earn for a 4-hour job?
$233
Javier goes to a football game. He pays $5 for a ticket and $2 per item at the concession stand. Javier buys 4 items. How much did Javier spend at the football game?
$13
What is the name of the 3D shape that has a square base and four triangular faces that meet at a point?
Pyramid
An electrician is paid $42 per hour plus a $65 visit fee. Write an equation to represent the total amount the electrician earns for a job. Let x represent the number of hours worked and y represent the total amount earned.
y = 42x + 65
Maria pays $105 for a season pass and 6 swim classes. Bridgette pays $135 for a season pass and 9 swim classes. What is an equation for the cost of a season pass and swim classes as a function of the number of swim classes attended?
y = 10x + 45 1
Sarah reads at a rate of 26 pages per hour. Fatima's reading rate is shown in the table. Who reads at a faster rate?
Time (hours) .25 1.25 .25 1.25
Fatima's Total 8 40 72 104
Pages Read
Fatima
Sarah reads at a rate of 26 pages per hour. Fatima's reading rate is shown in the table. Who reads at a faster rate?
Time (hours) .25 1.25 .25 1.25
Fatima's Total 8 40 72 104
Pages Read
288 pages
What is the sum of the angles in a triangle?
180