For example, \"“suppose you did not have unlimited text messaging and had to cho
ID: 3017035 • Letter: F
Question
For example, "“suppose you did not have unlimited text messaging and had to choose between two text messaging plans. The strategy is to see which plan cost less. Let's say Company C charges a monthly fee of $ 20 with a charge of $.03 per text message. Let's say Company T charges a monthly fee of $10 with a charge of $.10 per text message (Blitzer, 2014 p269)."”
Note that your independent variable x = the number of text messages
The Mathematical Model for each company is as follows:
Company C: f(x) = 20 + .03x
Company T: f(x) = 10 + .10x
We can analyze the two models to see which deal is better, which plan incurs more cost, which plan is best for you,, what x value makes the two functions equal, etc.
For this discussion:
Find two similar applications of a function (using the Internet, newspaper, library, etc).
Provide descriptions of the functions in terms of the independent variable x.
Construct a Mathematical Model for each description to represent your function
Ask a challenge question in reference to your two models (i.e. What value of x makes the functions equal? Which cost more? Which function saves more money?, Which function works best for you? , etc)
Explanation / Answer
We have to find/make two similar problems as described in the question.
PROBLEM 1:
Let's say Truck A charges a fixed price of $300 with a charge of $5 per mile and Truck B charges a fixed price of $100 with a charge of $10 per mile.
Then Mathematical Model for each truck will be as follows:
Truck A: f(x) = 300 + 5x
Truck B: f(x) = 100 + 10x
Now object is to find when cost from both trucks will be equal
300+5x=100+10x
300-100=10x-5x
200=5x
40=x
so that means at 40 mile, cost from both trucks will be equal.
Now question is which truck is beneficial for you.
if you want to go less than 40 mile then Truck B is better choice.
if you want to go more than 40 mile then Truck A is better choice.
similarly you can make one more example. :)
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