Solve the problem

Question

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

Answer 1

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. 

 

        

 

Answer 2

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.

Answer 3

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.

Answer 4

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