# 4. The Zip-coaster roller coaster starts going uphill at a constant speed at the same time that the Zoom-coaster starts rolling down its slope. The following system of equations describes the height in meters of each coaster after t seconds. (h = 240 - 5t2 Equation 1 h = 10t %3D Equation 2 Which equation represents the Zip-coaster, and which represents the Zoom-coaster? a. b. How long before the two coasters are at the same height? Answer in a sentence. Include units with your numbers.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
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Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
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This is for my pre calculus class, due today at 11 pm, thank you.
Page 4 of 5
Math 112A Unit 4 Review Assignment (V3)
Name:
# 4. The Zip-coaster roller coaster starts going uphill at a constant speed at the same time that
the Zoom-coaster starts rolling down its slope. The following system of equations describes
the height in meters of each coaster after t seconds.
(h = 240 – 5t2
lh = 10t
Equation 1
Equation 2
Which equation represents the Zip-coaster, and which represents the Zoom-coaster?
a.
How long before the two coasters are at the same height? Answer in a sentence.
Include units with your numbers.
b.
III. Lastly, you graphed systems of inequalities, and use the method called linear programming to
find the maximum or minimum of a linear function subject to a system of constraints.
#5. An electronic company sells two kinds of speakers, the Tweeter and the Boomer,
manufacturing at most 140 speakers each week. Each Tweeter takes 6 hours to build, and
each Boomer takes 12 hours. Each week, they hire workers for at most 960 hours. They
gain $56 in profit for each Tweeter the make, and $63 profit for each Boomer they make.
How many of each speaker should they make to maximize profit?
Say what your variables represent in words. Then write the profit function and system
of constraints (inequalities).
a.
y%3D
Profit =
Constraints:
Inequality 1
Inequality 2
Inequality 3
Inequality 4
Transcribed Image Text:Page 4 of 5 Math 112A Unit 4 Review Assignment (V3) Name: # 4. The Zip-coaster roller coaster starts going uphill at a constant speed at the same time that the Zoom-coaster starts rolling down its slope. The following system of equations describes the height in meters of each coaster after t seconds. (h = 240 – 5t2 lh = 10t Equation 1 Equation 2 Which equation represents the Zip-coaster, and which represents the Zoom-coaster? a. How long before the two coasters are at the same height? Answer in a sentence. Include units with your numbers. b. III. Lastly, you graphed systems of inequalities, and use the method called linear programming to find the maximum or minimum of a linear function subject to a system of constraints. #5. An electronic company sells two kinds of speakers, the Tweeter and the Boomer, manufacturing at most 140 speakers each week. Each Tweeter takes 6 hours to build, and each Boomer takes 12 hours. Each week, they hire workers for at most 960 hours. They gain $56 in profit for each Tweeter the make, and $63 profit for each Boomer they make. How many of each speaker should they make to maximize profit? Say what your variables represent in words. Then write the profit function and system of constraints (inequalities). a. y%3D Profit = Constraints: Inequality 1 Inequality 2 Inequality 3 Inequality 4
Page 3 of 5
Math 112A Unit 4 Review Assignment (V3)
Name:
II. In this unit, you created and solved systems of equations to model the real world in a few
different contexts.
# 3. Moonbucks Coffee Company sells a mixture with 6 ounces of Robusta coffee beans and 12
ounces of Arabica coffee beans for $14.76. They sell a mixture with 10 ounces of Robusta
and 8 ounces of Arabica for $13.92. What is the price per ounce of each type of coffee
bean?
Say what your variables represent, and set up the system of equations.
a.
x3=
y%3=
System:
b.
Solve the system. Write a sentence to answer the word problem. Include units with
your numbers.
Transcribed Image Text:Page 3 of 5 Math 112A Unit 4 Review Assignment (V3) Name: II. In this unit, you created and solved systems of equations to model the real world in a few different contexts. # 3. Moonbucks Coffee Company sells a mixture with 6 ounces of Robusta coffee beans and 12 ounces of Arabica coffee beans for $14.76. They sell a mixture with 10 ounces of Robusta and 8 ounces of Arabica for $13.92. What is the price per ounce of each type of coffee bean? Say what your variables represent, and set up the system of equations. a. x3= y%3= System: b. Solve the system. Write a sentence to answer the word problem. Include units with your numbers.
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