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

Construct the finite automaton for state transition table, Construct the fi...

Construct the finite automaton for the state transition table given below. Ans: The finite automata is displayed below. The initial state is marked along with arrow sign a

Determine the taylor series, Example : Determine the Taylor series for f(x)...

Example : Determine the Taylor series for f(x) = e x about x=0. Solution It is probably one of the easiest functions to get the Taylor series for. We just require recallin

What was the planes average speed, A ?ight from Pittsburgh to Los Angeles t...

A ?ight from Pittsburgh to Los Angeles took 5 hours and covered 3,060 miles. What was the plane's average speed? Find out the rate at that Susan is traveling through dividing h

Product moment coefficient (r), Product Moment Coefficient (r) ...

Product Moment Coefficient (r) This gives an indication of the strength of the linear relationship among two variables.                                     N

Solve 4 cos(t )= 3 on[-8, Solve 4 cos(t )= 3 on[-8,10]. Solution : Here...

Solve 4 cos(t )= 3 on[-8,10]. Solution : Here the first step is identical to the problems in the previous section. First we need to isolate the cosine on one side by itself & t

Reflection matrix, how do i solve reflection matrix just looking at the num...

how do i solve reflection matrix just looking at the numbers in a matrix

What is the value of x in probability , A bag contains 8 red balls and x bl...

A bag contains 8 red balls and x blue balls, the odd against drawing a blue ball are 2: 5. What is the value of x?                                                               (An

Product and quotient rule, Product and Quotient Rule : Firstly let's se...

Product and Quotient Rule : Firstly let's see why we have to be careful with products & quotients.  Assume that we have the two functions f ( x ) = x 3   and g ( x ) = x 6 .

Math help, What fraction of the full price will you pay for 2 shirts? 3 4 ...

What fraction of the full price will you pay for 2 shirts? 3 4 11 2 $45.001 2 .

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