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Sep 111:41 AM
Mr. Deyo
MS Algebra – Travel Options ‐ California
Working with Linear SystemsA‐REI‐1 & A‐F‐IF‐6 (Ch. 3&4, 7)
Sep 111:44 AM
Title: Date:
Learning Target (Day 1 of 2)
By the end of the period, I will calculate a unit rate (cost per mile) and create a function for fuel cost for driving an SUV and a Ford Focus.
I will demonstrate this by completing Four‐Square Notes and by solving problems in a pair/group activity.
Sep 111:51 AM
Home Work 1‐2‐3: 1) Class 4‐Square Notes Put In Binder?2) Section _________TxtBk. Problems _________
Solved and Put in Binder?
3) Section _________Notes Copied on a Blank Sheet of Paper and Put in Binder?
Sep 111:58 AM
Storm Check (Think, Write, Discuss, Report)Questions on which to ponder and answer:• How are the two images similar?• How are they different?• How can these two images be related to math?
IMAGE 1 IMAGE 2
Sep 112:03 PM
Vocabulary• unit rate
• function
• constant
• variable
Sep 112:06 PM
Sep 112:07 PM
Notes:On May 25th, the average price for unleaded gasoline in
California was $3.939 per gallon. A driver in Chula Vista,
California, plans to drive to San Luis Opispo, a distance of
roughly 632 miles round trip. The driver owns a Toyota
Yaris that gets 40 miles per gallon. Dollar RentACar, Inc.,
offers a Toyota Tacoma truck rental in Chula Vista for
$45.00 per day. It is estimated that the truck gets 15 miles
per gallon on the highway.
Sep 112:08 PM
A‐B Problem A notes:
1) What is the gasoline cost per mile for the Yaris and for the Tacoma?
Yaris Tacoma
3.939 dollars1 gallon
3.939 dollars1 gallon
On May 25th, the average price for unleaded gasoline in California was $3.939 per gallon. A driver in Chula Vista, California, plans to drive to San Luis Opispo, a distance of roughly 632 miles round trip. The driver owns a Toyota Yaris that gets 40 miles per gallon. Dollar RentACar, Inc., offers a Toyota Tacoma truck rental in Chula Vista for $45.00 per day. It is estimated that the truck gets 15 miles per gallon on the highway.
Sep 112:08 PM
A‐B Problem A Check:
1) What is the gasoline cost per mile for the Yaris and for the Tacoma?
Yaris Tacoma
3.939 dollars1 gallon
3.939 dollars1 gallon
1 gallon15 miles
1 gallon40 miles
Approximately
$0.098 per mile Approximately
$0.263 per mile
On May 25th, the average price for unleaded gasoline in California was $3.939 per gallon. A driver in Chula Vista, California, plans to drive to San Luis Opispo, a distance of roughly 632 miles round trip. The driver owns a Toyota Yaris that gets 40 miles per gallon. Dollar RentACar, Inc., offers a Toyota Tacoma truck rental in Chula Vista for $45.00 per day. It is estimated that the truck gets 15 miles per gallon on the highway.
Sep 112:09 PM
A‐B Problem B:2) Create a function for the fuel cost of driving the Yaris m miles.
3) Create a function for the fuel plus the rental cost of driving the Tacoma m miles.
Sep 112:09 PM
A‐B Problem B Check:2) Create a function for the fuel cost of driving the Yaris m miles.
3) Create a function for the fuel plus the rental cost of driving the Tacoma m miles.
Let F be the fuel cost for driving the Yaris m miles.
F = 0.098m
Let T be the total of the fuel cost and the rental cost for driving the Tacoma m miles.
T = 0.263m + 45.00Fuel Cost Rental Cost Fuel Cost
Sep 112:12 PM
Why do we need to calculate the unit cost (cost per mile) in order to compare the Yaris with the Tacoma?
In order to compare the Yaris with the Tacoma, we need to calculate the cost per mile because
__________________________________________
__________________________________________.
Storm Check (Think, Write, Discuss, Report)
Sep 111:44 AM
Title: Date:
Learning Target (Day 2 of 2)
By the end of the period, I will graph, create, and solve a system of equations for the driving costs of the Yaris and of the Tacoma.
I will demonstrate this by completing Four‐Square Notes and by solving problems in a pair/group activity.
Sep 112:07 PM
Notes:
F = 0.098m T = 0.263m + 45.00
Yaris
4) Graph each of the functions.
Tacoma
Miles Total Cost Miles Total Cost
Sep 112:07 PM
4) Graph each of the functions. F = 0.098m T = 0.263m + 45.00
Yaris Tacoma
Sep 112:07 PM
Think‐Pair‐Share:
F = 0.098m T = 0.263m + 45.00
Yaris
5) Estimate the point of intersection of the graphs. Then, explain the realworld meaning for the two graphs.
Tacoma
5) In the real‐world, the two graphs represent
__________________________________________
__________________________________________
__________________________________________.
Sep 112:08 PM
A‐B Problem A notes:
F = 0.098m T = 0.263m + 45.00SUV Tacoma
6) Set up a system of equations using the Yaris and the Tacoma equations. Then, solve the system algebraically IF POSSIBLE.
Sep 112:07 PM
Problem B:7) Explain how the solution to the graph (Q5) and the solution to the system of equations (Q6) are related.
7) The solution to the graph and the solution to the system are related because ___________________
__________________________________________
__________________________________________.
F = 0.098m T = 0.263m + 45.00
Yaris
Tacoma
Sep 112:12 PM
8) Will it cost the driver more money to rent a Tacoma to drive to San Luis Opispo or to drive the Yaris? Explain. (3‐4 Sentences)__________________________________________
__________________________________________
__________________________________________
__________________________________________
__________________________________________
Storm Check (Think, Write, Discuss, Report)
Sep 112:03 PM
Vocabulary• unit rate
• function
• constant
• variable
Sep 111:51 AM
Home Work 1‐2‐3: 1) Class 4‐Square Notes Put In Binder?2) Section _________TxtBk. Problems _________
Solved and Put in Binder?
3) Section _________Notes Copied on a Blank Sheet of Paper and Put in Binder?
Sep 111:44 AM
Title: Date:
Learning Target (Day 2 of 2)
By the end of the period, I will graph, create, and solve a system of equations for the driving costs of the Yaris and of the Tacoma.
I will demonstrate this by completing Four‐Square Notes and by solving problems in a pair/group activity.
