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# Solve the problem

The cost P, in dollars, to produce graphing calculators is given by the function C (X) = 53X + 2000, where X is the number of calculators produced.
a) Identify the dependent and independent variables
B) Evaluate C (1600) and explain what it represents

### 4 Answers by Expert Tutors

Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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a) X is independent variable, and C is dependent.

C ( X) = 53 X + 2000

C ( 1600) = 53 * 1600 + 2000
= 86800

Cost of production of 1600 graphing calculator.

Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
0
Hi Paula;
y depends on x.  Henceforth, this is the dependent variable.
x does NOT depend on y.  Henceforth, this is the independent variable.
C (X) = 53X + 2000
C(1600)=[(53)(1600)]+2000
C(1600)=84800+2000
C(1600)=86800
The cost of producing 1600 calculators is \$86,800.  The dollar value of the cost depends on the quantity of calculators produced.  The quantity of calculators produced does NOT depend on the cost.
Shelly J. | Excellent Maths Tutoring for academic successExcellent Maths Tutoring for academic su...
5.0 5.0 (261 lesson ratings) (261)
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Hi Paula,

C(X)=53X+2000

a)  X is the independent variable

The cost P that is C(X) is the dependent variable.

b)  C(X)=53X+2000

C(1600)=53(1600)+2000

=84800+2000=86800

The cost of 1600 calculators is \$86800.
Jim S. | Physics (and math) are fun, reallyPhysics (and math) are fun, really
4.7 4.7 (191 lesson ratings) (191)
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Paula,

a) the dependent variable is C and the independent variable is X. You can independently decide how many calculators you want to make but once you do the cost is determined. i.e. dependent.

B) C(1600)=53*1600+2000 = \$86,800 this is the cost in dollars to produce 1600 graphing calculators.

Regards
Jim