Carlos and Ethan noticed that both proportional relationships and linear functions form a straight line when graphed. Carlos claims that all linear functions are also proportional relationships. Ethan disagreed and tells Carlos that he has it backwards, that all proportional relationships are linear functions. Which statement accurately compares their observations?

A) Carlos is correct because all linear functions go through the origin.
B) Ethan is correct because all proportional relationships form a straight line and go through the origin and linear functions are linear, but they don’t all go through the origin so they are not always proportional.
C) Carlos is incorrect because no proportional relationships are linear.
D) Both Carlos and Ethan are incorrect, no proportional relationships are nonlinear.

Answer:

B. Ethan is correct because all proportional relationships form a straight line and go through the origin and linear functions are linear, but they don’t all go through the origin so they are not always proportional.

Step-by-step explanation:

So a proportional relationship is just a special kind of linear relationship, i.e., all proportional relationships are linear relationships (although not all linear relationships are proportional).

A bookstore is deciding what price it should charge for a certain book. After research, the store finds that if the book's price is p dollars (where p <= 40), then the number of books sold per month is 120-3p. What price should the store charge to maximize its revenue?

Please simplify/evaluate 7x - 2x + 30

Subtract: Four hundred twenty eight from two hundred sixty three.

PLEASE HELP!!!!!
Mr. Lopez, a Language Arts teacher, has his students read a certain number of pages out loud in class to start a book, and then a set number of pages for homework each night to complete the book. The graph displays the total number of pages read each day. A graph has days on the x-axis and pages read on the y-axis. Points are at (0, 35), (1, 57), (2, 79), (3, 101), (4, 123). What does the point (0, 35) represent?
-The students will read 35 pages a day to complete the book.
-The book begins on page 35.
-None of the students read 35 pages.
-The students read 35 pages in class to start the book.

First-person to answer correctly with an explanation get brainiest

The table represents a proportional relationship. Use the table to find the constant of proportionality, and write an equation that represents the relationship.

In the box below, share the constant of proportionality, and write an equation that represents the relationship.

Sue baked cookies for a school fundraiser. She sold three-fourths of the cookies during the first two hours of the fundraiser. She sold one-third of the remaining cookies during the next hour. If Sue had 12 cookies left, how many cookies did she bake?

LOOK AT PIC! 20 POINTS

pls help im giving brainliest if you can help me

Chloe pays $28 for 3.5 pounds of salmon. What is the price per pound of salmon?

In Mrs. Wilson's math class, the ratio of girls to total students is 5 to 8. If there are 24 total students, how many boys are in the class? (help please! i also need work for understanding this problem, thank you!)

I Need help asp and thank you
X is -8 and Y is 8 for L

X is 0 and Y is 4 for M

1) Calculate the slope between point L and point M using the change in y and the change in x. Show all work in the formula.

what does the word "percent" means? What does per means? and what does cent means?

In the middle school debate club, 30% of the members are in sixth grade. If there are 12 graders in the club, how many total members are there?

A) 30
B) 36
C) 38
D) 40

Describe the probability of rolling a number greater than 5 on a standard number cube.

The U.S. Mint began issuing state quarters in 1999. There was one state quarter for each of the 50 states. You are collecting the state quarters and want to design a rectangular display with the same number of quarters in each row. How many ways can you arrange your display?

how do answer my question

Someone please help...

Apply the distributive property to factor out the greatest common factor.

81x - 27 = ???

Which of the following shows 18,442 correctly rounded to the hundreds place?
19,000
18,500
18,440
18,400

simplify: 5/6 + 5 - 2/3 - 2

What is the equation of a line that passes through (0, 3) and (2, 4)

1. Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
2. Write the inequality and show all work to solve the inequality.
3. Graph the solution to your inequality on a number line.
4. Explain what your solution means in the context of the problem

4x = 6Y = 2,340 solve for y

Jenny is having a yard sale. She needs to sell more than 5 toys in order to reach her goal. Her brother already bought 2 of them. How many more does she need to sell?

Abe has 150 t-shirts to sell before the playoffs begin. The table shows the linear relationship between the number of t-shirts remaining, y, and the number of days he has been selling, X. T-shirt Sales Number of Number of Days T-shirts Remaining х

Which function can be used to find y, the number of t-shirts remaining after x days?​

PLS HELP PLS I CANT GET THIS I CANT FAIL PLS

please help me w/ this.
:P
:)
:D

A physical education class is running a mile. The teacher has set a goal of 12 minutes to complete the mile. Students receive a score to show how close they are to the target of 12 minutes. For example, if students run the mile in 8 minutes, their scores will be -4. Complete the statements about the students’ scores.
Anja ran the mile in _______ . Her score is –2.
2
10
12
Issac ran the mile in 13 minutes. His score is______ .
-1
0
1
Simon ran the mile in 12 minutes. His score is______ .
-12
0
12

if you are thankful for your family write a paragragh why you are thankful for your family:)

just easy 5 points:)

Find the unit rate for​ 90% books to​ 10% magazines. (Consider the unit rate to be the number of books per magazine.).