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

Systematic sampling, Systematic Sampling Systematic sampling is a part ...

Systematic Sampling Systematic sampling is a part of simple random sampling in descending or ascending orders. In systematic sampling a sample is drawn according to some predet

Algebra, Solve 2x^2 + 5x + 36

Solve 2x^2 + 5x + 36

Diameter of the circle , The length of the diameter of the circle which tou...

The length of the diameter of the circle which touches the X axis at the point (1,0) and passes through the point (2,3) is ? Solution)  If a circle touches the x-axis, its equatio

Complex numbers from the eigenvector and the eigenvalue, Complex numbers fr...

Complex numbers from the eigenvector and the eigenvalue. Example1 : Solve the following IVP. We first require the eigenvalues and eigenvectors for the given matrix.

Solve following 4e1+3 x - 9e5-2 x = 0 logarithms, Solve following 4e 1+3 x...

Solve following 4e 1+3 x - 9e 5-2 x  = 0 . Solution Here the first step is to get one exponential on every side & then we'll divide both sides by one of them (that doesn'

Find the solution to initial value problem, Illustration:   Find the soluti...

Illustration:   Find the solution to the subsequent IVP. ty' + 2y = t 2 - t + 1,      y(1) = ½ Solution : Initially divide via the t to find the differential equation in

Index shift - sequences and series, Index Shift - Sequences and Series ...

Index Shift - Sequences and Series The main idea behind index shifts is to start a series at a dissimilar value for whatever the reason (and yes, there are legitimate reasons

Marketing research, In pharmaceutical product research doctors visit the pl...

In pharmaceutical product research doctors visit the place to learn what

Intervals of validity, I've termed this section as Intervals of Validity si...

I've termed this section as Intervals of Validity since all of the illustrations will involve them. Though, there is many more to this section. We will notice a couple of theorems

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