SOLUTION: Hello, I have several things that I need help with. I need to see all of the steps to help me work future problems out. I am grateful for your help! This algebra has been mind b

Question 240330: Hello,
I have several things that I need help with. I need to see all of the steps to help me work future problems out. I am grateful for your help! This algebra has been mind boggling after being out of school for 32 years.

1. Graph the equations by completing the tables and plotting the points. You may use Excel or another web-based graphing utility.
a). y = -½ x + 3
Use the table; find at least 3 points using any values for x.
x y
-2
0
4
b). Use the values of x provided in the table.
x y
0
1
2
3
4

2. The cost function for the Recklus Hang gliding Service is C(x) = 0.4x2 - fx + m, where f represents the average fuel cost for a customer’s daily excursion and m represents the monthly hanger rental. Also, C represents the monthly cost in dollars of the small business where x is the number of flight excursions facilitated in that month.
a). If $60 is estimated to be the average fuels cost (f), and the monthly hanger rental is $3,000; write an equation for the profit, P, in terms of x.
Typing hint: Type x-squared as x^2
b).What is the cost when 40 flight excursions are sold in a month?
c). How many flight excursions must be sold in order to minimize the cost? Show your work algebraically. Trial and error is not an appropriate method of solution – use methods taught in class.
d). What is the minimum cost?

Thanks so much for helping me. I am taking this class on-line and I am having problems grasping this subject.
Best Regards,

Answer by Alan3354(21605) (Show Source):
You can put this solution on YOUR website!
1. Graph the equations by completing the tables and plotting the points. You may use Excel or another web-based graphing utility.
a). y = -½ x + 3
Use the table; find at least 3 points using any values for x.
Sub each x and find y
x....y
-2...4 --> (-2,4)
0....3 --> (0,3)
4....1 --> (4,1)
Plot the points and draw a straight line thru them.
------------------
b). Use the values of x provided in the table.
Is this the same equation?
x y
0 3
1 2.5
2 2
3 1.5
4 1
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