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

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Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...

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.

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...

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.

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

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