You buy a printer for $80 and then pay $15 for each ink cartridge
Download
Report
Transcript You buy a printer for $80 and then pay $15 for each ink cartridge
If you are done:
Take the algebra book from under
your seat.
Begin to read about functions:
Page 46
Writing Functions
September 17, 2014
Can I create equations in two variables to
represent the relationship between two
variables?
You buy a printer for $80 and then
pay $15 for each ink cartridge that
you use. A function relating the
cost, Y (in dollars), of operating the
printer to the number of cartridges
used, x:
Y = 15+ 80.
Let’s talk about the parts of this
function
Domain: Set of input values
Range: Set of output values
Complete the table to represent the total cost for 0
to 4 cartridges.
Number of cartridges
0
1
2
3
4
Total Cost
Graph the function from the table
CHOOSE A REASONABLE SCALE
Let’s analyze this function
What is the initial value of the cost function? What
does it represent?
What number of cartridges corresponds to the initial
cost?
Define the domain.
Define the range.
What would the total cost be if you purchased 17
cartridges?
How would your cost change if the printer cost $90?
Now you try:
Andrea receives a $40 gift card to use a town
pool. It costs her $8 per visit to swim. A function
relating the value of the gift card to the number
of visits.
Write an function to represent this situation.
Make a table of values.
Graph the function
Turn and talk
What is the initial value? (1 talk to 2)
What is the difference between a given card value and the
previous card value? (2 talk to 1)
Identify the domain and the range of the function using set
notation (1 talk to 2)
Is it possible for the card to have a value of $35? Why or why
not? (2 talk to 1)
On Your Own:
Work on Explore 1 in your groups.
Be ready to share.