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Math0075 910 preview assignment 13 ab

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Foundations of Mathematical Reasoning Version 3.0 (2020)
Student Pages
Preview Assignment 13.AB
Preparing for the next class
In the next in-class activity, you will need to use technology to find the square root of a
number and use the order of operations in situations with exponents.
1) Which of the following formulas will determine the total cost for Maria to make plant
arrangements for 5 of her friends? There may be more than one correct answer.
a) = B2 + B3 + B4 + B5
b) = 5*(B2 + B3 + B4 + B5)
c) = 5*(B1 + B2 + B3 + B4 + B5)
d) = 5*B2 + 5*B3 + 5*B4 + 5*B5
e) = 5*B2 + B3 + B4 + B5
2) In Practice Assignment 11.AB, you researched the formula for the area of a
trapezoid. Dominique has designed a courtyard shaped like a trapezoid as shown
below. Find the area of the courtyard.
4200ft^2
3) Griffin’s front door has a circular window that was broken during a storm. If the
radius of the window is 1 foot, what is the area of the glass? The store charges by
the square inch, so round your answer to the next whole square inch. (Note: Some
stores charge for the total area of the original piece of glass and some charge only
for the final area after the cut. Griffin is using a store that only charges for the final
area.)
452.39in^2
4) You also researched the formula for the volume of a cylinder. Use that information
to find the volume of a water cistern with a radius of 10 feet and a height of 40 feet.
50
ft
90
ft
60
ft

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Foundations of Mathematical Reasoning Version 3.0 (2020)
Student Pages
Copyright © 2020, The Charles A. Dana Center at The University of Texas at Austi
Round to the nearest tenth of a cubic foot. (Search the web if you would like to
know the purpose of a water cistern.)
12566.37ft^3
Copyright © 2020, The Charles A. Dana Center at The University of Texas at Austin
5) Find the mean of 8, 4, 3.5, 7.5, 5, and 6.5. Round to the hundredths place if
necessary. 5.75
6) Approximate to the hundredths place. If your calculator does not have a
square root key, search for a free online scientific calculator. 0.22
7) Approximate to the hundredths place. If your calculator does not have a
square root key, search for a free online scientific calculator. 8.36
Question 8: The following information will be used in In-Class Activities 13.A and 13.B.
Subscripts in algebra
A subscript is a symbol that is written in small type below a variable in regular type. For
example: 𝑃
0
is read as “P sub-zero.”
Subscripts are used to distinguish between variables that represent similar quantities.
For example, if you were working with a problem in which there were different prices
over time, you might want to use 𝑃 to represent all of those prices, but you also want to
be able to tell the difference between them. So, you could use 𝑃
0
for the initial price,
then 𝑃
1
(“P sub-one”) for the second price. The subscript is only a label; it is not an
operation.
Information about the context in In-Class Activity 13.B
The grade of a road is important information for drivers of large trucks in mountainous
terrain. If a trucker begins to travel too fast going downhill, then it is possible for brakes
to fail. Of course, as the driver of a car, you might be frustrated with a truck that is
traveling up a hill with a steep grade, especially if you cannot pass. Runners and
bicyclists who compete in hilly terrain also consider the grade of the hill in predicting
their stamina and speed.
The grade of the road quantifies the rate of increase (or decrease) in height over some
horizontal span. The grade is written as a fraction with the numerator as the change in
height (vertically) and the denominator as the change in distance (horizontally).
Typically, the grade is reported as a positive value (even though mathematically, “uphill”
is positive and “downhill” is negative). In practice, if one car is traveling uphill on a road,

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Foundations of Mathematical Reasoning Version 3.0 (2020) Student Pages Preview Assignment 13.AB Preparing for the next class In the next in-class activity, you will need to use technology to find the square root of a number and use the order of operations in situations with exponents. 1) 2) Which of the following formulas will determine the total cost for Maria to make plant arrangements for 5 of her friends? There may be more than one correct answer. a) = B2 + B3 + B4 + B5 b) = 5*(B2 + B3 + B4 + B5) c) = 5*(B1 + B2 + B3 + B4 + B5) d) = 5*B2 + 5*B3 + 5*B4 + 5*B5 e) = 5*B2 + B3 + B4 + B5 In Practice Assignment 11.AB, you researched the formula for the area of a trapezoid. Dominique has designed a courtyard shaped like a trapezoid as shown below. Find the area of the courtyard. 50 ft 60 ft 90 ft 4200ft^2 3) Griffin’s front door has a circular window that was broken during a storm. If the radius of the window is 1 foot, what is the area of the glass? The store charges by the square inch, so round your answer to the next whole square inch. (Note: Some stores charge for the total area of the original piece of glass and some charge only for the final area after the cut. Griffin is using a store that only charges for the final area.) 452.39in^2 4) You also researched the formula for the volume of a cylinder. Use that information to find the volume of a water cistern with a radius of 10 feet and a height of 40 feet. Foundations of Mathematical Reasoning Version 3 ...
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