Write a linear cost function for the situation. Identify all variables used. A parking garage charges 4 dollars plus 65 cents per half-hour. A linear cost function for the situation is C(x)=L (Use integers or decimals for any numbers in the expression)

Respuesta :

Answer:

Step-by-step explanation:

Given that the cost function is linear.

Fixed charges = 4 dollars

Variable charges perhalf hour = 65 cents = 0.65 dollars

Suppose a man leaves for x hours say

then we have he would be charged 4 dollars besides 0.65 for 2x half hours.

Hence

[tex]C(x) = 5+4(2x)\\C(x) = 8x+5[/tex] where x is the number of hours.

The variable charge is 1.3 dollars per hour and the fixed cost is 4 then the linear cost equation is C(x) = 1.3x + 4.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

A parking garage charges 4 dollars plus 65 cents per half-hour.

Let C(x) be the linear cost.

The fixed charge is 4 dollars

The variable charge per half-hour is 0.65 dollars.

Suppose the men leave for x half-hours for one hour the x will be 2x.

Then the equation will be

[tex]\rm C(x) = 0.65*2x + 4\\\\C(x) = 1.3x + 4[/tex]

Thus, the equation is [tex]\rm C(x) = 1.3x + 4[/tex].

More about the linear system link is given below.

https://brainly.com/question/20379472