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
galina1969 [7]
3 years ago
13

the graph shows your budget and the total cost of x gallons of gasoline and a car wash you want to determine the possible amount

s in gallons of gasoline you can buy within your budget. how much does a gallon of gasoline cost? how much does a car wash cost? y=40 and y=3.55x+8

Mathematics
1 answer:
Yuki888 [10]3 years ago
7 0

Answer:

Part a) The budget is $40

Part b) The cost of one gallon of gasoline is $3.55 and the cost of the car wash is $8

Part c) x \leq 9.01\ gal

Part d) see the explanation

Step-by-step explanation:

The complete question in the attached figure

Part a) What is your budget?  

The budget is given by the equation

y=40

therefore

The budget is $40

Part b)  How much does a gallon of gasoline cost? how much does a car wash cost?

Let

y ------> the cost of a gallon of gasoline plus the cost of a car wash

x -----> the amount of gasoline in gallons

we have

y=3.55x+8

In this problem

For x=0

y=3.55(0)+8=8

The y-intercept is the cost of the car wash

so

The cost of the car wash is $8

Find the cost of one gallon of gasoline

we know that

The slope of the linear equation is

m=$3.55 per gallon

therefore

The cost of one gallon of gasoline is $3.55

Part c) Write an inequality that represent the possible amounts of gasoline you can buy

we have

3.55x+8 \leq 40

Solve for x

3.55x \leq 40-8

3.55x \leq 32

x \leq 9.01\ gal

Part d) Use the graph to estimate the solution of the inequality in part c)

we have the system

y=40

y=3.55x+8

The solution of the system is the intersection point both graphs

Looking at the graph the intersection point is about (9,40)

That means ----> The maximum amount of gasoline you can buy with the budget is about 9 gallons

You might be interested in
Please help due today
Masja [62]

Answer: 80 ft²

Step-by-step explanation:

The area of a trapezoid is one half  the product of the height and the sum of the lengths of the  bases.

(6 + 10) * 0.5 * 10 = 80 (ft²)

3 0
3 years ago
Jinnifer is saving money to buy a bike the bike cost $252
Leviafan [203]

Answer:

Then she needs to save $252.

8 0
3 years ago
Read 2 more answers
Solve the given equation.<br><br><br><br> w + 23 = 75
lesya692 [45]
52 because 75 - 23 is 52
6 0
2 years ago
Read 2 more answers
4. the following are the varriables in the term 10xyz Except
nirvana33 [79]

Answer:

Step-by-step explanation:

5. Putting value of m = 3

m2 - 3m + 2

(3)2 - 3(3) + 2

6 - 9 + 2

= - 1

4 0
3 years ago
Read 2 more answers
BRAINLIEST ASAP The picture below shows a solar event in the sun's atmosphere. Image of the layer of the sun that produces light
Alex

Answer: Since there is no picture I am going from my knowledge and my knowledge says that the answer would the first one CELL PHONE SIGNAL DISRUPTION

4 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP ASAP!!
    9·2 answers
  • A baby gains 11 pounds in its first year of life. The baby gained 4 and one-fourth pounds during the first four months and 3 and
    13·2 answers
  • Togo flew his ultralight plane to a Landing field 30 miles away. With the wind, the flight took three and a half hours.Returning
    13·2 answers
  • What is the quotient? 1462 divided 58 Enter your answer as a mixed number in the simplest form
    7·2 answers
  • Ellen saved $2000 and she spent 10% of it to buy a bike. Kim saved 8% more than that of Ellen's left savings. If Lisa saved 60%
    14·1 answer
  • PLEASE HELPPPPPP ASPAPPPPP
    15·1 answer
  • Please help ssssssssss<br>​
    15·2 answers
  • What do rigid motions preserve
    8·1 answer
  • The solution shown for the equation is incorrect. What is the correct​ solution? What is the​ error?
    14·1 answer
  • Special right triangles, solve for x, y and z
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!