Learning Target: I can find the unit rate and the constant of
proportionality from a graph, table, and equation. Homework:
Complete notes on p.11 for the Zaption Video CS 2.3 Warm Up: CS
2.3: Finding Costs Unit Rate and Constant of Proportionality What
do these algorithms represent? Answer this question using the
algorithm: verify: 400 = 12(33.33) 96 = 12n 96 12 = 8 96 = 12(8)
verify: 33 pizzas 8 pizzas Homework Review: CS 2.2 p. 8 pkt p. 9 CS
2.3: Finding Costs Unit Rate and Constant of Proportionality The
unit rate of one pizza at Howdys is $13. The equation P = 13 n
relates the price of the pizza and the number of pizzas. This
equation represents a __________________
___________________________, because you multiply one variable by a
constant number to get the value of the other variable. The
constant multiplier is called the __________ _____
__________________. constant of proportionality If a delivery
charge of $5 is added to the cost, the relationship is no longer
proportional. P = 13n + 5 is not a proportional relationship.
proportional relationship A.FreshFoods has oranges on sale at 10
for $2. This is a ratio or rate. 1. What is the cost per orange?
This is a unit rate, because we are talking about the price of one
orange. 2. How many oranges can you buy for $1? This is also a unit
rate, because we are talking about how many oranges you can get for
$1. $.20 5 oranges 3. How many oranges can you buy for $5? 4. How
much do 25 oranges cost? If the Unit Rate is: 5 oranges for $1.
Then you can get 5 times as many oranges for $5 5 oranges x $5 = 25
oranges If the price is $.20 per orange. Then 25 oranges costs 25
times as much as 1 orange..20 x 25 = $5.00 6. The equation n = 5C
relates cost: C to number of oranges: n. a. What does this equation
tell you about the relationship between the number of oranges and
the cost of the oranges? b. What is another equation relating these
same two variables? What information does this other equation give
you? C = 0.2n The cost will equal $.20 times the number of oranges
n = 5C The number of oranges will equal five times the dollars
spent. c. Identify the two unit rates in the equations. What
information do the unit rates give you? d. How does the constant of
proportionality relate to the unit rate? C = 0.2n No matter how
many you buy, each orange will always cost $.20 n = 5C No matter
how many you buy, you will get 5 oranges for every dollar spent
constant of proportionality = unit rate 7. Graph the two equations
for the oranges problem on separate coordinate grids. a. Think
about how to scale your graph on each axis before you start
plotting points. b. Look at the tables that you created on page 9
so that you can find coordinates to plot. Cost of Oranges Cost of
Oranges Equation: C = 0.2n Equation: n = 5C (oranges, cost) (x,y)
(cost, oranges) (x,y) 7. Graph the two equations for the oranges
problem on separate coordinate grids. a. Think about how to scale
your graph on each axis before you start plotting points. b. Look
at the tables that you created on page 9 so that you can find
coordinates to plot. Cost of Oranges Cost of Oranges Equation: C =
0.2n Equation: n = 5C (oranges, cost) (x,y) (cost, oranges) (x,y)
B. Noralies car uses 20 gallons of gas to go 600 miles. Find the
missing values in the table. Find the unit rate (miles per gallon)
by using the table: How can you tell by looking the table that this
is a proportional relationship? unit rate = 30 miles per gallon The
table increase by 30 miles for every gallon. (Can you see the same
scale factors and all the equivalent fractions?) Equation Write the
equation for this situation: How can you tell by looking the
equation that this is a proportional relationship? For every gallon
used, the distance will increase by 30 miles d = 30g (d=distance,
g=gallons) Find the unit rate (miles per gallon) by using the
graph: What does (1, 30) mean? Use the graph to find how many miles
she can drive with 4 gallons of gas. How can you tell by looking
the graph that this is a proportional relationship? Unit Rate: 30
miles per gallon 1 gallon = 30 miles (4, 120) = 120 miles The rate
moves in a straight line. (4, 120) CS Exit Ticket #2 Did I reach my
Learning Target? I can find the unit rate and the constant of
proportionality from a graph, table, and equation. Homework:
Complete notes on p.11 for the Zaption Video CS 2.3 CS 2.3: Finding
Costs Unit Rate and Constant of Proportionality
