Westcoast MATH108 Week 4 Midterm Exam Latest 2019 MAY Question # 00601994 Subject: Education Due on: 06/06/2019 Posted On: 06/06/2019 03:55 AM Tutorials: 1 Rating: 4.6/5

A college student is moving into a campus dormitory.
The student rents a moving truck for $19.95 plus $0.99 per mile. Before
returning the truck, the student fills the tank with gasoline, which costs
$65.32. The total cost is $144.67. Using a linear equation, explain the process
to find how many miles the student drove the truck.

A hairdresser is deciding where to open her own
studio. If the hairdresser chooses location A, she will pay $1,200 per month in
rent and will charge $45 per haircut. If she chooses location B, she will pay
$1,800 per month in rent and will charge $60 per haircut. Using linear
equations, explain the process to find how many haircuts she would have to give
in one month to make the same profit at either location

Experts fear that
without conservation efforts, tigers could disappear from the wild by 2022.
Just one hundred years ago, there were at least 100,000 wild tigers. By 2010,
the estimated world tiger population was 3,200. The table below shows the
estimated world tiger population for selected years from 1970 through 2010.

Year	Wild Tiger Population
1970	37,500
1980	28,000
1990	12,500
2000	6,300
2010	3,200

The polynomial function models the population of wild tigers, where represents the number of years since 1970.

a) Using
the websitehttps://www.desmos.com/calculator,
graph the polynomial using the settings 0 to 40 (step 5) for
the x-axis and 0 to 40000 (step 5000)
for the y-axis. Do not use commas in any of the numbers.Share the graph by
exporting and downloading the image. Include the graph as part of your
solution.

b) Find
and interpret the function’s value at 40. Does this overestimate or
underestimate the actual data shown in the table? By how much?

c) Find
and interpret the function’s value at 10. Does this overestimate or
underestimate the actual data shown in the table? By how much?

d) Based
on the graph alone, what is the lowest population of wild tigers and in what
year does this take place?

As a teacher, you assigned this problem
to your class: “Factor the trinomial.”
You received four different answers from your students. Provide appropriate
feedback to these students explaining in detail their mistakes (if any).

a)

b)

c)

d)

The area of a rectangle is modeled by the
polynomial square units. The width of the rectangle is
modeled by the polynomial units. Showing all work, write a polynomial
that represents the length of the rectangle.

A projectile is fired straight up with an
initial velocity of 80 feet per second. Its height in feet after seconds is.

a) Explaining
the process and showing all work, how long will it take for the projectile to
hit the ground?

b) Explaining
the process and showing all work, at what time(s) will the projectile be 96
feet in the air? What does this tell you about the projectile?