
YES! NO input values repeat.
Darren and his friend are planning on going on a vacation this springbreak.
Darren's saving account is represented by the equation. Y represents total money and x represents money added each week.
y = 50x + 300
Explain what they X and the B mean in the equation.
Choice _______ is an equation of a linear function:
A) y=x2 + x + 1
B) y=2x-1
C) y= -3x(x+ 2)
D) y = x3
B
Is this a function and why?

No, because 8 (input) has two outputs 3 and -3.
Steve is Darren's friend and is going on a vacation this springbreak.
Steve starts with more money but puts less in each week. Write an equation that could represent Steve's account.
Darren's informatin is below.
Y represents total money and x represents money added each week.
y = 50x + 300
Answers will vary
Linear or non-linear?

Linear
This graph is not a function.
Graph 1
A plumber is needed to fix a toilet in your house.
Plumber #1 cost is show with the table below, Pluber #2 gives you an equation
X Y Y= 40X + 100
0 75
1 125
2 175
Which plumber cost more to show up? Which plumber has a higher cost per hour?
Plumber 2 cost $100 to show up
Plumber 1 has a cost of $50 per hour
Is this linear or non-linear? If linear, what is the constant Rate of Change?
Linear Function
Rate of Change= 1/2
Which of the following is not a function?
a.) (0,1), (1,2), (2,3), (3,4)
b.) (0,2), (1,3), (4,3), (1,2)
c.) (1,3), (4,2), (2,0), (3,4)
d.) (1,2), (2,2), (3,2), (4,2)
B
1 can not have an output of 3 and 2
A plumber is needed to fix a toilet in your house.
Plumber #1 cost is show with the table below, Plumber #2 gives you an equation. Which is better if you need a plumber for 5 hours.
X Y Y= 40X + 100
0 75
1 125
2 175
Which plumber would be the best to hire for a 5 hour job?
Plumber #2 cost 300 versus Plumber 1 who cost $325
Is this linear or non-linear? If linear, what is the constant Rate of change?

Linear Function
Rate of Change: 3/2
Insert values into the x coordinate to make this a function
a.) (1,-5), (_,1), (_,4), (_,-2)
Answers will vary

Write an equation to represent the function.
y= 20x
Does the table depict an linear or non-linear function?
Non-linear