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Write a mathematical model representing the total monthly cost

A tennis club offers 2 payment option:

Option1: $42 monthly fee plus $5/hour for court rental
Option 2: No monthly fee but $8.50/hour for court rental.

Let x=hours per month of court rental time.

Write a mathematical model representing the total monthly cost, C, in terms of x for the following:

Option 1: C=
Option 2: C=

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Mathematical Model for the problem:-

Option1: C=42+5*x
Option2: C=0+ 8.5*x

Thanks

Zulfikar Ali
ali_zulfikar@yahoo.com
09899780221

Posted on Feb 06, 2009

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How to calculate the difference between -5 and 8


Well you subtract one from the other, remembering that 2 minuses make a plus, so

8 - (-5) = 13

You can do it this way

-5 - 8 = -13 which some would view as better, because it implies that the second number, -5, is less than the first.

Sep 10, 2014 | Mathsoft StudyWorks! Mathematics Deluxe...

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The subscription fee to a club for men and women are in the ratio 4:3. Two men and five women pay a total sum of $460. What is the subscription fee for each man?


Let m represent the subscription rate for a man, and w the subscription rate for a woman.
m/w=4/3, or m=(4/3)w.
2 men and 5 women paid 460. Thus
2m+5w=460.
Substitute (4/3)w for m, in 2m+5w=460.
This gives an equation in the unknown w. Solve for w
2(4/3)w +5w=460 or (23/3)w=460. Answer is w=60
Use this value in the relation m=(4/3)w to get m=80.
Check m/w=80/60=4/3

May 09, 2014 | The Learning Company Achieve! Math &...

1 Answer

The math club has 57 members who are in sixth or seventh grades. There are twice as many sixth graders as seventh graders. How many sixth graders are in the club?


Assume that the letter "a" represents the number of 7th graders.
Since there are twice as many 6th graders we can call them "2a".
There are 57 total members, we can make the following statement:
2a + a = 57
We can simplify this to say 3a = 57.
Divide 57 by 3 = 19. (this is the value of "a")
There are 19 seventh graders and 19 x 2 sixth graders or 38.
38 + 19 = 57

Sep 20, 2013 | M2K Garfield: It's All About Math Math...

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How would you represent the area of the base of the box?


Total Surface Areabox1.jpg

The total surface area is made up of three pairs of sides for a total of six sides.

We must find Areahw, which is the area of the side that is h by w.

Areahw = (h)(w)

We must find Areahl, which is the area of the side that is h by l.

Areahl = (h)(l)

We must find Areawl, which is the area of the side that is w by l.

Areawl = (w)(l)

Each of the above areas are present on two sides of the box. So, the total surface area is sum of twice each of these areas, that is:

Total Surface Area = 2(Areahw) + 2(Areahl) + 2(Areawl)


Example:

Let h = 3 cm, w = 5 cm, l = 8 cm

Areahw = (h)(w) = (3 cm)(5 cm) = 15 cm2
Areahl = (h)(l) = (3 cm)(8 cm) = 24 cm2
Areawl = (w)(l) = (5 cm)(8 cm) = 40 cm2

Total Surface Area = 2(Areahw) + 2(Areahl) + 2(Areawl)
Total Surface Area = 2(15 cm2) + 2(24 cm2) + 2(40 cm2)
Total Surface Area = 30 cm2 + 48 cm2 + 80 cm2
Total Surface Area = 158 cm2

Aug 04, 2011 | Educational & Reference Software

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What does f(x) means?


This is a mathematical notation for a function of a variable x.
Let there be two quantities say the number of hours worked per week (x) and the salary you get paid (y).
The number of hours you work is the independant variable. The salary paid is the dependant variable.
For each amount of hours you work, your boss calculates the salary that is owed you at the end of the week. The method your boss uses to calculate your salaray is the function.
Symbolically, this can be represented as
Salary ($)=f(hours vorked) or
y=f(x)

For example: if the hourly rate is 8$/h and you work 35h then what is owed you is
35h*8$/h=280$
If you work more hours you will get more pay and if less hours, less pay
The rule is y=8*x

Jun 16, 2010 | Vivendi Excel@ Mathematics Study Skills...

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The total cost of C of producing n articles per hour in a factory is given by the formula C = a + bn where a and b are constants When 10 articles are produced the total cost is 320 when two are produced...


For this type of problem, a equals the constant cost of operation (monthly rent..etc) and b equals the cost to manufacture the items.

first equation: 320 = a + b(10)
second equation: 520 = a +b(20)

320 = a + 10b
520 = a + 20b subtract equation 2 from equation 1

-
200 = -10b divide by -10

20 = b plug b into one of the equations

320 = a +(20)(10) multiply

320 = a +200 subtract 200

120 = a

Let me know if i need to explain further.

Dec 29, 2009 | Mathsoft StudyWorks! Mathematics Deluxe...

1 Answer

Problems about areas


Let x = the width of the women's court. Then 2x is the length of the women's court.
the area of the womens court is x times 2x = 2x^2

the length of the mens court is 4 ft longer than the women's or 2x + 4
The width of the men's court is 5 ft wider than the womwn's or x + 5

The are of the mens court is 650 square feet larger that the womens so we have to add 650 to the area of the womens court so the men's and women's will be equal

Now we have area of the women's court = area of the men's court

2x^2 + 650 = (x + 5) (2x + 4) = 2x^2 + 14x + 20

The x^2 cancel out and we are left with 14X + 20 + 650 solving for x we get x = 45

Plugging x back into the length and width equations we get the length is 94 and the width is 50

Hope this helped

Good luck Loringh

Oct 03, 2008 | Educational & Reference Software

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