Applied Algebra Math Final Exam with Verified
Question&AnswersExam
Which situations are best modeled by exponential growth or decay?
Select all that apply. - ANSWER//- the population of an invasive species that
reproduces at a rate of 20% each year
- the amount Carbon-14 a fossil has over time given the half-life of Carbon-14 is
5730 years
Gold (Au) has a synthetic isotope that is relatively unstable...
What is the half-life of this isotope? - ANSWER//4.25 Minutes
Examine The Graph
The motion of a drone is modeled as velocity over time. What is the equation for
this model?
Select all that apply. - ANSWER//V = 2t^2 - 3t - 4
An engineer draws an assembled gear in perspective.
How does this gear appear when viewed from above? -
ANSWER//https://assets.learnosity.com/organisations/625/717b082e-b8b1-4e6c-
aa8c-c44e94b42f90.png
The Washington Monument is 169 meters tall with a square base 16.8 m wide...
What is the area of the replica's base in square meters rounded to two decimal
places? - ANSWER//XX = 2.10
COULD BE = 4.41
, An architect designs a building with glass on all sides, solar panels on the roof,
and an underground garage...
What amount of glass, in square meters (m^2) is needed for the building? -
ANSWER//37,440 m^2
A landscape architect designs a walkway around a pond, as shown in the image.
The architect uses a 30-60-90 right triangle to estimate the total length of the
walkway. She measures the shortest side of the triangle as 15 meters.
What are the lengths of the other two sides? - ANSWER//Side b = 25.98 meters
Side h = 30.0 meters
A civil engineer plans to build an incline bridge over a river as shown.
The bridge will span a section that is 35 meters wide, with ends of the bridge set
back 2.5 m from each river bank. The engineer must apply right angle
relationships because one river bank is 9 m higher than the other.
What is the final length of this bridge? - ANSWER//41 m
High-definition (HD) televisions today have a 16:9 aspect ratio (width to height)...
Allowing for 2 inches of Styrofoam padding on all sides of the TV, what is the
smallest possible length and width of a shipping box for a 75- inch HD TV? -
ANSWER//68 by 40
A biologist on a 50-meter observation tower at the edge of a beach sees a great
white shark swimming near the surface. The biologist sees the shark at an angle
of depression of 10°
How far is the shark from the observation tower? - ANSWER//283.56 m
An architect designs a wheelchair ramp for a historical building. The entry way is
a level platform at the top of stairs that are 3 meters above ground level and
extend 4 m out from the building. There is an obstacle 25 m from the stairs, and
the city code for ramps limits the incline angle to 6°
Is there sufficient distance for a ramp within this limit? How do you know? -
ANSWER//No, Because the ratio of 3/25 is greater than tan 6°
A piece of music with a tempo of 100 beats per minute (bpm) has a playing time
of 3 minutes. The piece is edited to have a playing time of 120 beats per minute.
Question&AnswersExam
Which situations are best modeled by exponential growth or decay?
Select all that apply. - ANSWER//- the population of an invasive species that
reproduces at a rate of 20% each year
- the amount Carbon-14 a fossil has over time given the half-life of Carbon-14 is
5730 years
Gold (Au) has a synthetic isotope that is relatively unstable...
What is the half-life of this isotope? - ANSWER//4.25 Minutes
Examine The Graph
The motion of a drone is modeled as velocity over time. What is the equation for
this model?
Select all that apply. - ANSWER//V = 2t^2 - 3t - 4
An engineer draws an assembled gear in perspective.
How does this gear appear when viewed from above? -
ANSWER//https://assets.learnosity.com/organisations/625/717b082e-b8b1-4e6c-
aa8c-c44e94b42f90.png
The Washington Monument is 169 meters tall with a square base 16.8 m wide...
What is the area of the replica's base in square meters rounded to two decimal
places? - ANSWER//XX = 2.10
COULD BE = 4.41
, An architect designs a building with glass on all sides, solar panels on the roof,
and an underground garage...
What amount of glass, in square meters (m^2) is needed for the building? -
ANSWER//37,440 m^2
A landscape architect designs a walkway around a pond, as shown in the image.
The architect uses a 30-60-90 right triangle to estimate the total length of the
walkway. She measures the shortest side of the triangle as 15 meters.
What are the lengths of the other two sides? - ANSWER//Side b = 25.98 meters
Side h = 30.0 meters
A civil engineer plans to build an incline bridge over a river as shown.
The bridge will span a section that is 35 meters wide, with ends of the bridge set
back 2.5 m from each river bank. The engineer must apply right angle
relationships because one river bank is 9 m higher than the other.
What is the final length of this bridge? - ANSWER//41 m
High-definition (HD) televisions today have a 16:9 aspect ratio (width to height)...
Allowing for 2 inches of Styrofoam padding on all sides of the TV, what is the
smallest possible length and width of a shipping box for a 75- inch HD TV? -
ANSWER//68 by 40
A biologist on a 50-meter observation tower at the edge of a beach sees a great
white shark swimming near the surface. The biologist sees the shark at an angle
of depression of 10°
How far is the shark from the observation tower? - ANSWER//283.56 m
An architect designs a wheelchair ramp for a historical building. The entry way is
a level platform at the top of stairs that are 3 meters above ground level and
extend 4 m out from the building. There is an obstacle 25 m from the stairs, and
the city code for ramps limits the incline angle to 6°
Is there sufficient distance for a ramp within this limit? How do you know? -
ANSWER//No, Because the ratio of 3/25 is greater than tan 6°
A piece of music with a tempo of 100 beats per minute (bpm) has a playing time
of 3 minutes. The piece is edited to have a playing time of 120 beats per minute.
