Posted by **mathstudent05** on Thursday, May 24, 2007 at 1:10pm.

I have to write a linear cost function for the situation given. And identifying all variables used.

the problem reads:

A parking garage charges 50cents plus 35 cents per hal-hour.

This is what i tried but i am definately not sure how to do it:

cost function = marginal cost(x) + fixed cost

c(x) = 35((x)/(2))+50

can someone help me...

not quite.

test it for a given value, let's say 2 hours.

by common sense we can calculate the cost to be 4(35) + 50 or 190 cents.

you would have to have a value of x=8 to obtain that answer.

Why did you divide by 2? That makes no sense.

I all depends how you define x. Is x in hours or is x in half-hours?

You have to state that after your function.

If x is defined in hours then your equation would be

c(x) = 70x + 50 (it costs 70 cents per hour)

if x is defined in half-hours, you should have

c(x)=35x + 50

thank you reiny for clearifying it for me it makes sence what you say.

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