Transcript Howdy`s Pizza - Issaquah Connect

CS 2.2: Scaling RATES
Learning Target: I can find the unit rate
from a graph, table, and equation.
Homework: Complete notes on p. 8 for the
Zaption Video CS 2.2
Warm Up:
Answer using a 1) fraction, 2) decimal & 3) percent.
There are 3 apples for 4 children and 6 oranges for 10
children. Would children get more apples or oranges?
apples:
3/4 = .75 = 75%
oranges: 6/10 = 3/5 = .60 = 60%
Children will get more apples than oranges.
Juliana is in charge of
ordering pizzas for a
camp dinner. She
wonders whether to
order the pizzas from
Royal Pizza or Howdy’s
Pizza.
What is the ratio of pizzas to price ($)
for each business?
Howdy’s Pizza: 15 / 195
10 / 120
Royal Pizza:
rate
Each of these ratios is a _____________,
a comparison of two quantities measured in different units.
Each pizzeria allows customers to use the same pricing rate for
fewer or more pizzas than the listed number. You can only use the
ads to find the cost for any number of pizzas you want to purchase.
rate ______________.
table
One way to find the costs is to build a _________
This is a table that shows the prices for different numbers of pizzas.
As the campers plan their pizza dinner, they need to calculate
the costs for many different numbers of pizzas.
A. Complete the table with the prices for each of the numbers of pizzas shown for
Howdy’s Pizza:
$26
$29
$52
$65
X
$13
$130
$195
$260 $1,300 $1,950 $2,600
$130
What is the price for one pizza from Howdy’s Pizza?
$13
This is called a unit rate.
A unit rate is a rate in which the second quantity is 1 unit.
In this case we are talking about the price per pizza (one pizza).
What is the price for 8 pizzas from Howdy’s Pizza? Show how you found your answer.
$104
What is the price for 27 pizzas from Howdy’s Pizza? Show how you found your answer.
$351
What is the price for 53 pizzas from Howdy’s Pizza? Show how you found your answer.
$689
Royal Pizza:
$24
$36
$48
$60
$120
X
$12
$180
$240 $1200 $1,800 $2,400
What is the price for one pizza from Royal Pizza? Again, this is called a unit rate.
$12
What is the price for 8 pizzas from Royal Pizza? Show how you found your answer.
$96
What is the price for 27 pizzas from Royal Pizza? Show how you found your
answer.
$324
What is the price for 53 pizzas from Royal Pizza? Show how you found your
answer.
$636
If you know the price of one pizza (the unit rate), how can you find the
price of additional numbers of pizzas? One strategy would be to write
an equation:
For each pizza place, write an equation for the total price (P) for any
number of pizzas (n).
Hint: Price = Price Per Pizza × Number of Pizzas
Price = Unit Rate
× Number of Pizzas
Howdy’s Equation:
Royal Equation:
P
P
=
13 n
=
12 n
How does having equations help you solve problems such as those in
Question A?
It helps you find the price for any number of pizzas.
Use your equations to find the price of 115 pizzas from each pizza
place. Show your work.
Howdy’s Pizza Equation: P
= 13n
P = 13(115)
P = $1,495
Royal Pizza Equation:
P = 12n
P = 12(115)
P = $1,380
On the coordinate plane below, plot the data for both pizza places
(use different colors for the two places).
Give your graph a title and label the axes.
Create a key so that it is clear which graph goes with which pizza place
Think about how to scale your graph on each axis before you start
plotting points.
Look at the tables that you created on pages 5 and 6 so that you can
find the coordinates to plot.
Number of pizzas will be your x-value,
price will be your y-value
(Number of pizzas, Price)
(x , y)
Pizza Prices
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140
Price in dollars
y
0
KEY:
Howdy’s
Royal
x
1
2 3
4 5
6
7
8 9 10 11 12 13 14
Number of pizzas
What do you notice about the graphs of the pizza places?
Which pizza place is more expensive?
How can you tell based on the graph?
CS 2.2: Scaling RATES
Did I reach my Learning Target?
I can find the unit rate
from a graph, table, and equation.
Homework: Complete notes on p. 8 for the
Zaption Video CS 2.2