Mathematical model representing the total parking cost, Mathematics

Assignment Help:

John has a choice of using one of two parking garages when he visits downtown:

Option1:  $8 an hour for the first two hours, then $2 and hour for each hour more than 2; or

Option 2:  $10 for the first hour and $2.50 for each hour more than one.
    Let x = total hours parked.

a)    Write a mathematical model representing the total parking cost, C, in terms of x for the following (assume John is parking for more than 2 hours):
Option 1:
Option 2:

b)    John plans to spend the day downtown (more than 2 hours), how many total hours would John have to park for the cost of option 1 to be less than option 2. Set up an inequality and show your work algebraically using the information in part a.


Related Discussions:- Mathematical model representing the total parking cost

Standard trig equation, "Standard" trig equation: Now we need to move into...

"Standard" trig equation: Now we need to move into a distinct type of trig equation. All of the trig equations solved to this point were, in some way, more or less the "standard"

representative value or an extreme value, A population forms a normal dist...

A population forms a normal distribution with a mean of μ=80 and a standard deviation of o=15. For every samples, compute the z-score for the sample mean and determine whether the

What is the probability a 3 will be rolled and a tail tossed, A die is roll...

A die is rolled and a coin is tossed. What is the probability that a 3 will be rolled and a tail tossed? Find the probability of each event separately, and then multiply the an

Evaluate the following exponentials limit, Evaluate following limits. ...

Evaluate following limits. Solution: Let's begin this one off in the similar manner as the first part. Let's take the limit of each piece. This time note that since our l

Elementary row operations to reduce the augmented matrix, Consider the syst...

Consider the system of linear equations X + ay = 1 2x + 8y = b Where a and b are real numbers. (a)  Write out the augmented matrix for this system of linear equations.

Analyze the dynamic path - difference equation, One of the well-known class...

One of the well-known class of models that involve a simple difference equation are models of mean reversion. These models typically take the form yt+1 - yt = -a(yt - μ)where 0

Testing the hypothesis equality of two variances, Testing the hypothesis eq...

Testing the hypothesis equality of two variances The test for equality of two population variances is based upon the variances in two independently chosen random samples drawn

Complex analysis test, Can anyone help with my exam. I have 8 questions to ...

Can anyone help with my exam. I have 8 questions to do which is due on 02-14-13

Children have their own strategies for learning maths, Children Have Their ...

Children Have Their Own Strategies For Learning Vibhor, aged 7, was once asked if he knew what 'seven lots of eight' are. He said he didn't. He was then asked, "Can you work it

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd