El costo variable de fabricar una calculadora es de $2 y los costos fijos son de $105.
a. determina la función lineal del costo total por fabricar x calculadora al día.
b. ¿cuál es el costo por fabricar 50 calculadoras al día?

a.

b.  

Step-by-step explanation:

The variable cost of $ 2 implies that for each manufactured calculator the total cost increases $ 2.

The fixed cost of $ 105 implies that regardless of the number of manufactured calculators there will always be a cost of $ 105.

If we call x the number of manufactured calculators then the total cost c(x) will be:

Then, the cost of manufactured 50 calculators a day is:

a.)the line for function b is steeper

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: