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Optimization

Optimization

Assessment

Presentation

Mathematics

9th - 12th Grade

Practice Problem

Easy

CCSS
6.RP.A.3B, 6.EE.B.7, RI.1.1

+4

Standards-aligned

Created by

Alexis Ortiz

Used 4+ times

FREE Resource

3 Slides • 7 Questions

1

​Optimization
12/2

By Alexis Ortiz

2

Open Ended

What does it mean to optimize an outcome?

3

Open Ended

For a 200 mile trip, which speed do you think uses the least amount of gas? Which one do you think will get you to your destination earlier?

(mpg = miles per gallon)
Speed Fuel Efficiency
60 mph 30 mpg

75 mph 24 mpg

4

Formulas

Gallons = Distance / MPG

Gallons Used

media

Cost

Cost = Gallons x Price per gallon

5

Multiple Choice

Question image

For a 200 mile trip, how long would it take if we are driving 60 mph? (Assuming no traffic)

1

3 hours and 20 minutes
(3.33 hours)

2

3 hours

3

2 hours and 40 minutes
(2.66 hours)

4

3 hours and 40 minutes
(3.66 hours)

6

Multiple Choice

Question image

For this 200 mile trip, how many gallons do we use when driving 60 mph?

1

7.33 gallons

2

5.66 gallons

3

6.66 gallons

4

7 gallons

7

Multiple Select

Question image

Now calculate the cost of the trip for both speeds (No taxes)

1

$24.91

2

$22.60

3

$19.91

4

$12.45

5

$11.30

8

media

Now on your own

Gallons used = Distance / MPG

media

Cost = Gallons x Price per gallon

9

Open Ended

What are some pros and cons of each speed you can think of?

10

Open Ended

Question image

I am obviously new to the class, so tell me a little about yourself!

What kind of music do you listen to? Do you play any sports? Instruments?

​Optimization
12/2

By Alexis Ortiz

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