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
gogolik [260]
3 years ago
10

The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her driving cost was $380 for 48

0 mi and in June her cost was $450 for 830 mi. Assume that there is a linear relationship between the monthly cost C of driving a car and the distance x driven. Find a linear equation that relates C and d.
Mathematics
1 answer:
andrezito [222]3 years ago
7 0

Answer:

y=0.2x+284

Step-by-step explanation:

Let  x be the distance driven, d-distance and C our constant.

Our information can be presented as:

y=mx+c\\\\450=830x+C\ \ \ \ \ \ \ \ \ eqtn 1\\\\380=480x+C\ \ \ \ \ \ \ \ \ eqtn 2

#Subtracting equation 2 from 1:

70=350x\\x=0.2

Hence the fixed cost per mile driven,x is $0.20

To find the constant,C we substitute x in any of the equations:

450=830x+C\ \ \ \ \ \ \ X=0.2\\\therefore C=450-830\times0.2\\=284

Now, substituting our values in the linear equation:

y=0.2x+284       #y=cost of driving, x=distance driven

Hence the linear equation for the cost of driving is y+0.2x+284

You might be interested in
T are the domain and range of f (x) = (1/5)^x?
MAXImum [283]

Answer:

Step-by-step explanation:

domain:A

range: D

3 0
3 years ago
Triangle ABC is similar to triangle DEF. how long is EF?<br> A) 4<br> B) 10<br> C) 14<br> D) 12
Andrej [43]

Answer:

The answer is D) 12

Step-by-step explanation:

Multiple 4 by 3

8 0
3 years ago
2 The area of the back yard is 72m. The length is 12m. What is
meriva
2. 6m
3. No, she has 2.8ft of fabric. She is 2.2 yards short... :)
8 0
3 years ago
Given the area of a circle is 201.06cm2, find the diameter and circumference.
mestny [16]

given the area of circle o6.

5 0
3 years ago
Read 2 more answers
I need to know how to do this please help me out fam
melamori03 [73]
The picture is blurry.
6 0
3 years ago
Other questions:
  • There are 32 students in Jenny's class. If the teacher randomly picks a student to call on, what is the probability that Jenny w
    6·1 answer
  • A cube whose edge is 20 cm 1 point
    10·1 answer
  • Jules kicks a soccer ball off the ground and into the air with an initial velocity of 25 feet per second. Assume the starting he
    14·1 answer
  • A circle has a radius of 12cm. What is the area of that circle? Round to the nearest tenth. ( A = nr withe the 2 on top of the r
    13·1 answer
  • George has 26 coins in quarters and dimes. He has a total of $4.70. How many quarters does he have?
    11·1 answer
  • How do you turn this into a simplified fraction?
    10·1 answer
  • Find the m ABC if ray BD bisects LABC.
    12·1 answer
  • A geology teacher takes her class on an annual field trip to analyze rock samples. They use randomized sets of
    10·2 answers
  • Evaluate the equation. 3/4 + m = 2 1/8 A. m= 3/8 B. m= 5/8 C. m= 1 3/8 D. m= 1 5/8 FAST PLEASE I WILL GIVE BRIANLYIST!
    7·1 answer
  • the height of a right angled triangle is 7cm long and hypotenuse is 25cm long.what will be the area of the triangle​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!