1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
WINSTONCH [101]
3 years ago
7

The first charges an up front fee of $20 then 59 cents a mile the second charges an up front fee of $16 then 63 cents a mile whe

n will the first be better than the second
History
1 answer:
MariettaO [177]3 years ago
6 0

The two important quantities in this problem are the cost and the number of miles driven. Because we have two companies to consider, we will define two functions.

Input

d, distance driven in miles

Outputs

K(d): cost, in dollars, for renting from Keep on TruckingM(d) cost, in dollars, for renting from Move It Your Way

Initial Value

Up-front fee: K(0) = 20 and M(0) = 16

Rate of Change

K(d) = $0.59/mile and P(d) = $0.63/mile

A linear function is of the form  

f(x)=mx+b\displaystyle f\left(x\right)=mx+b

f(x)=mx+b. Using the rates of change and initial charges, we can write the equations

{K(d)=0.59d+20M(d)=0.63d+16\displaystyle \begin{cases}K\left(d\right)=0.59d+20\\ M\left(d\right)=0.63d+16\end{cases}

{

​K(d)=0.59d+20

​M(d)=0.63d+16

​​

Using these equations, we can determine when Keep on Trucking, Inc., will be the better choice. Because all we have to make that decision from is the costs, we are looking for when Move It Your Way, will cost less, or when  

K(d)<M(d). The solution pathway will lead us to find the equations for the two functions, find the intersection, and then see where the  

K(d)\displaystyle K\left(d\right)

K(d) function is smaller.


This tells us that the cost from the two companies will be the same if 100 miles are driven. Either by looking at the graph, or noting that  

K(d) is growing at a slower rate, we can conclude that Keep on Trucking, Inc. will be the cheaper price when more than 100 miles are driven, that is  

d>100\displaystyle d>100

d>100.

You might be interested in
How does Kennedy structure his speech? Describe each of the parts.
oee [108]

Answer:

Kennedy's inaugural speech was captivating because it expressed a call to public service in the context of the Cold War, using powerful compelling phrases as well as emotional please.

Explanation:

Hope this helps you sorry if it doesn’t

3 0
2 years ago
Why did the eastern part of the roman empire last longer than the western part
omeli [17]
There are many reasons but here's two

1. The 'war' and invasion etc was fought in the West so the province that you are going to have to raise troops and revenue from to fight the war is the same one where all the fighting takes place.

Meanwhile the 'East' had Anatolia as a heartland for revenue and recruits that was untouched .

<span>2. There is a lot of evidence that it wasn't simply 'barbarian' invasion but also a large element of rebellion against central authority by local forces. These are the people who are supposed to supply your troops and revenue.</span>
3 0
3 years ago
What major advantage did European empires have over the Afro-Asian world?
Alborosie

Answer:

Europeans were able to trade for slaves, foodstuffs, and desirable items like deerskins, a process that led to the subjugation of many Indian peoples. The economic changes led to even more social turmoil among Indians, a condition that eventually led to their subjugation in many cases.

Explanation:

I'm not sure hahaha

6 0
3 years ago
Find a Solution. Decide on two compromises that could be made and write thern below. This will be your compromise bill.
kumpel [21]

A compromise is when two or more groups or individuals come together to find a middle ground that will <u>appease all parties involved</u>.

<h3>How is this done?</h3>

To reach a compromise, good communication between all parties involved is essential. The groups or individuals must come together to find a point in which all those involved will benefit in some way. This often includes lowering your standards of expectations and making some sacrifices in order to reach an understanding.

Therefore, we can confirm that a compromise is when two or more groups or individuals come together to find a middle ground that will appease <u>all parties involved</u>.

To learn more about compromises visit:

brainly.com/question/7482363?referrer=searchResults

5 0
2 years ago
Heeeeeeellp me hurrryyy
pav-90 [236]

Answer: anwser is d

Explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • After the invasions began, european landowners found protection by entering into
    13·1 answer
  • Which of the following explains how World War I affected Turkish leaders?
    5·1 answer
  • Which german goldsmith during the reformation invented a printing press in which moveable type could be inserted then inked and
    12·1 answer
  • Rome began to lose territory after the Pax Romana because its military relied on untrained soldiers. expansive borders faced con
    10·2 answers
  • Which statement best describes the Phoenician Empire?
    11·2 answers
  • Which of the following is an advantage to using graphs and diagrams?
    9·2 answers
  • What arguments could be made for using atomic bombs to end the war? What arguments could be made against using atomic weapons in
    7·2 answers
  • What physical feature is formed as tectonic plates are pulling apart?
    5·1 answer
  • Why did christopher columbus come to america? and why was thanks gving created?
    5·2 answers
  • Where do the roles of the president come from?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!