Foundations of Mathematical Reasoning
Student Assignment 3.3.AB
Assignment 3.3 Part AB
Questions
1) As of September, 2011, Florence Griffith-Joyner held the women’s world record for
the 100-meter dash. She set the record with a time of 10.49 seconds in 1988.1
Part A: Which of the following calculations are correctly set up to convert this speed into
miles per hour?
Answer choices:
a)
10.49 seconds
1 meter
5,280 feet
1 minute
1 hour
i
i
i
i
100 meters
3.28 feet
1 mile
60 seconds 60 minutes
b)
100 meters
3.28 feet
1 mile
60 seconds 60 minutes
i
i
i
i
10.49 seconds 1 meter
5,280 feet
1 minute
1 hour
c)
10.49 seconds
1 meter
5,280 feet 60 seconds 60 minutes
i
i
i
i
100 meters
3.28 feet
1 mile
1 minute
1 hour
Answer:
100 meters
3.28 feet
1 mile
60 seconds 60 minutes
i
i
i
i
10.49 seconds 1 meter
5,280 feet
1 minute
1 hour
Part B: Find the answer to the conversion in Part A. Round to the nearest tenth of a mile
per hour.
Answer blank:
Florence Griffith-Joyner’s speed was _____ miles per hour.
Answer:
21.3
2) A 2010 Toyota Prius hybrid vehicle gets 48 mpg for highway driving. The tank holds
11.9 gallons of fuel.2 Typically the low fuel warning light comes on when
1
Retrieved from http://en.wikipedia.org/wiki/100_metres#Women
2
Retrieved from Kelley Blue Book: http://www.kbb.com/toyota/prius/
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Foundations of Mathematical Reasoning
Student Assignment 3.3.AB
approximately two gallons of fuel remain in the tank. Which of the following
calculations can be used to find the distance that can be traveled after the fuel light
comes on and before the car runs out of gasoline?
Answer choices:
a)
1
48 miles
i
= 24 miles
2 gallons 1 gallon
b)
2 gallons 48 miles
i
= 96 miles
1
1 gallon
c)
11.9 gallons 48 miles
i
= 571.2 miles
1
gallon
d)
2 gallons 1 gallon
1
i
=
miles
1
48 miles
24
Answer:
2 gallons 48 miles
i
= 96 miles
1
1 gallon
3)
Write 44 feet per second as a unit rate.
Answer:
44 feet
1 second
or
44 ft
1 sec
or
44 ft
1s
4) In Lesson 1.2, you learned about a water footprint. Part of a person’s water footprint
is the water used for cleaning. In this question, you will calculate the cost of water for
laundry and bathing. You will use the City of New York 2011 rate of $7.64/100 cubic
feet of water. Calculate the cost of each of the following based on this rate. Use the
conversion factor of 7.48 gallons per cubic foot.3
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Foundations of Mathematical Reasoning
Student Assignment 3.3.AB
Part A: A standard washing machine uses approximately 50 gallons of water per
load.4 A household washes one load of laundry per day, on average, for 52
weeks. Find the total cost per year.
Answer:
186.40 OR $186.40 OR $186.4 OR 186.4
Part B: According to one study, the average American shower lasts for 8.2
minutes and uses 17.2 gallons. A person showers once a day for a year. Find the
total cost per year.5
Answer:
64.12 or $64.12 or 64.13 or $64.13
5) Terrence is very careful about tracking his gas mileage. Every time he fills his gas
tank, he records how much gas he buys and the number of miles he has driven. He
puts this information into a spreadsheet so he can easily calculate his gas mileage.
Part A: Select the formula that would calculate Terrence’s gas mileage.
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Foundations of Mathematical Reasoning
Student Assignment 3.3.AB
Answer choices:
a) = (A2 + A3 + A4 + A5) / (B2 + B3 + B4 + B5)
b) = A2 + A3 + A4 + A5 / B2 + B3 + B4 + B5
c) = (B2 + B3 + B4 + B5) / (A2 + A3 + A4 + A5)
d) = B2 + B3 + B4 + B5 / A2 + A3 + A4 + A5
Answer:
= (A2 + A3 + A4 + A5) / (B2 + B3 + B4 + B5)
Part B: Terrence is planning a long road trip of about 1,000 miles. The average price
of gas is $3.85/gallon. Based on the data in the spreadsheet, estimate how much
he should budget for gas. Round to the nearest dollar.
Answer:
182 or $182
6) Find examples of three ratios from three different lessons in the course, not including
Lesson 3.3. For each ratio, do the following:

Record the lesson in which the ratio was used.

Write a statement explaining what the ratio means in context.

Identify if the ratio is a unit rate.
Ratio 1:
Ratio 2:
Ratio 3:
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Foundations of Mathematical Reasoning
Student Assignment 3.3.AB
The following problems should be printed, completed, and placed in
your binder:
Questions 7 through 9: Use Figure 1 for the following questions.
Figure 1
7) What fraction of Figure 1 is shaded?
8) Shade the same fraction of the area in Figure 2.
Figure 2
9) Shade the same fraction of the area in Figure 3.
Figure 3
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Foundations of Mathematical Reasoning
Student Assignment 3.3.AB
HINTS (Note not all questions will have hints)
Hint #1: Refer to Resource Dimensional Analysis, if needed.
Hint #2: Refer to Resource Dimensional Analysis, if needed.
Hint #4: Refer to Resource Dimensional Analysis, if needed.
Hint #5: Refer to Resource Dimensional Analysis, if needed.
Hint #6: Refer to Resource Writing Principles, if needed.
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