SOLUTION: From a rational expressions and equations worksheet: Tried to answer. am I on the right track. Help solve completely. Biologists want to set up a station to test alligators in

Question 212807: From a rational expressions and equations worksheet: Tried to answer. am I on the right track. Help solve completely.
Biologists want to set up a station to test alligators in the lake for West Nile Virus. Suppose that the costs for such a station are $2,500 for setup costs and $3.00 to administer each test.
a. Write an expression that gives the total cost to test x animals.
C=2500+3x
b. You can find the average cost per animal by dividing total costs by
number of animals. Write the expression that gives the average cost per
animal.
c\x or 2500+3x/x
c. Find the average cost per animal for 10 animals. 100 animals. 1,000
animals.
10 = $253, 100 = $28, 1,000 = $5.50
d. As the number of animals tested increases, what happens to the average
cost to test the animals? Would the average cost ever fall below $3.00?
If so, identify a value that supports your answer. If not, explain how
you know.
e. How many animals should be tested for the average cost to be $5.00 per
animal?
Thank you!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
From a rational expressions and equations worksheet: Tried to answer. am I on the right track. Help solve completely.
Biologists want to set up a station to test alligators in the lake for West Nile Virus. Suppose that the costs for such a station are $2,500 for setup costs and $3.00 to administer each test.
:
You seem to know what you are doing here, good work!
:
a. Write an expression that gives the total cost to test x animals.
C=2500+3x
;
b. You can find the average cost per animal by dividing total costs by
number of animals. Write the expression that gives the average cost per
animal.
c\x or 2500+3x/x
;
c. Find the average cost per animal for 10 animals. 100 animals. 1,000
animals.
10 = $253, 100 = $28, 1,000 = $5.50
;
d. As the number of animals tested increases, what happens to the average
cost to test the animals? Would the average cost ever fall below $3.00?
If so, identify a value that supports your answer. If not, explain how
you know.
;
no, it costs at least $3 for each animal (3x)
;
e. How many animals should be tested for the average cost to be $5.00 per
animal?
Use your equation
= 5
Multiply by x
2500 + 3x = 5x
2500 = 5x - 3x
2500 = 2x
x =
x = 1250 animals for a $5 per animal cost
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