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Posted: July 24th, 2023
MAT150SLP3Assignment and Template
I affirm that this assignment contains
all original work. I am familiar with Trident Universityâs Academic Integrity
policy located in the Trident.trident.edu/catalog-handbook”>Policy Handbook.
I affirm that I have not engaged in direct duplication, copy/pasting, sharing
assignments, collaboration with others, contract cheating and/or obtaining
answers online, paraphrasing, or submitting/facilitating the submission of
prior work. Work found to be unoriginal and in violation of this policy is
subject to consequences such as a failing grade on the assignment, a failing
grade in the course, and/or elevated academic sanctions. My name below affirms
that the assignment was completed individually, and all work presented is my
own.
Name: Melvin Young
Date: 03/04/2016
Instructor: Art
Bellen
Use this template to insert your
answers for the assignment. Please use
one of thefour methods for showing your work (EE,Math Type,ALT keys, or neatly typed). Remember that your work should be clear and
legible.
Problems
need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest
terms where possible.
1. A rug company uses the following function to
calculate the cost of producing throw rugs.
C(x)= 2.78x+23
If
x represents the number of rugs, find
the cost when 200 rugs are produced.
Plug
in .png”>in the function .png”>and then evaluate
.png”>
Answer: ÂÂÂÂ____.png”>___________
2. A ball is dropped from a height of 65 feet
and modeled by the following function
h(t)= -6t2 +
40t
If
t represents the time in seconds
after the ball is dropped, find h(5).
Answer: ÂÂÂÂ___50 feet____________
Plug
in.png”>in the function .png”>and then evaluate
.png”>
3. The profit for selling cases of paper is
represented by p(x)= 3.65x â 7.80. If
x=2,000 and represents the cases of paper that are sold, find the profit.
Calculations:
Plug
in .png”>in the function .png”>and then evaluate
.png”>
Answer: ÂÂÂÂ___.png”>____________
4. The time it takes a mechanic to complete an
oil change is 7 minutes for each oil change and 10 minutes to set-up the
station for the day. Write a function
where x represents the number of cars
that get an oil change. How long does it
take to complete 50 oil changes?
Calculations:
Since it takes 7 minutes for each
car, and number of cars is.png”>, time taken to change the oil of .png”> cars is .png”>.
Also it takes 10
minutes to set up the station, total time (in minutes) can be written as
function
.png”>
To find the time it
takes to complete 50 oil changes, plug in.png”> in the function and
then evaluate
.png”>
Answer: Function: ÂÂÂÂ____.png”>_______________________
Time after 50 oil changes: _____360
minutes_________
5. An electrician charges a trip fee of $40 and
$65 per hour. If h represents the number of hours he works on a job, write a
function that represents this scenario.
Calculate the cost of a job that runs for 7 hours.
Calculations:
Sinceelectrician charges$65
per hour, and number
of hours is.png”>, total variable cost is .png”>.
Since there is a
fixed cost for each trip is $40, total cost (in dollars) can be written as
function
.png”>
To find the time it
takes to complete 50 oil changes, plug in.png”> in the function and
then evaluate
.png”>
Answer: FunctionÂÂÂÂ____.png”>___________
Cost ______.png”>___________
6. The dosage (in mg) for Flea Alert is modeled
by the function.png”> where x
represents the weight of the dog. Find
the dosage for a dog that weighs 50 lbs. and a dog that weighs 14 lbs.
Calculations:
To find the dosage
for a dog that weighs 50 lbs, plug in.png”> in the function and
then evaluate
.png”>
To find the dosage
for a dog that weighs 14 lbs, plug in.png”> in the function and
then evaluate
.png”>
Answer: ÂÂÂÂ50 lb. dog= __ .png”>_____________
ÂÂÂÂ 14 lb. dog= _______ .png”>________
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